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Finding the Fourth Proportional to 51,812.80, 77,776.80 and 32,113.60

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Solution

The fourth proportional to 51,812.80, 77,776.80 and 32,113.60 is: 48,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.80 : 77,776.80 = 32,113.60 : x
  2. Step 2: Convert to fraction form
    51,812.80/77,776.80 = 32,113.60/x
  3. Step 3: Cross multiply
    51,812.80x = 77,776.80 × 32,113.60
  4. Step 4: Simplify right side
    51,812.80x = 2,497,693,044.48
  5. Step 5: Solve for x
    x = 2,497,693,044.48/51,812.80
  6. Step 6: Final answer
    x = 48,206.10

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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.