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Finding the Fourth Proportional to 32,814,672.80, 49,222,009.20 and 32,814,672.80

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Solution

The fourth proportional to 32,814,672.80, 49,222,009.20 and 32,814,672.80 is: 49,222,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814,672.80 : 49,222,009.20 = 32,814,672.80 : x
  2. Step 2: Convert to fraction form
    32,814,672.80/49,222,009.20 = 32,814,672.80/x
  3. Step 3: Cross multiply
    32,814,672.80x = 49,222,009.20 × 32,814,672.80
  4. Step 4: Simplify right side
    32,814,672.80x = 1,615,204,126,456,590
  5. Step 5: Solve for x
    x = 1,615,204,126,456,590/32,814,672.80
  6. Step 6: Final answer
    x = 49,222,009.20

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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.