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Finding the Fourth Proportional to 32,781,738.80, 49,172,608.20 and 32,781,738.80

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Solution

The fourth proportional to 32,781,738.80, 49,172,608.20 and 32,781,738.80 is: 49,172,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,738.80 : 49,172,608.20 = 32,781,738.80 : x
  2. Step 2: Convert to fraction form
    32,781,738.80/49,172,608.20 = 32,781,738.80/x
  3. Step 3: Cross multiply
    32,781,738.80x = 49,172,608.20 × 32,781,738.80
  4. Step 4: Simplify right side
    32,781,738.80x = 1,611,963,598,127,138.25
  5. Step 5: Solve for x
    x = 1,611,963,598,127,138.25/32,781,738.80
  6. Step 6: Final answer
    x = 49,172,608.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.