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Finding the Fourth Proportional to 68,505.23, 102,772.22 and 29,061.47

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Solution

The fourth proportional to 68,505.23, 102,772.22 and 29,061.47 is: 43,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,505.23 : 102,772.22 = 29,061.47 : x
  2. Step 2: Convert to fraction form
    68,505.23/102,772.22 = 29,061.47/x
  3. Step 3: Cross multiply
    68,505.23x = 102,772.22 × 29,061.47
  4. Step 4: Simplify right side
    68,505.23x = 2,986,711,129.19
  5. Step 5: Solve for x
    x = 2,986,711,129.19/68,505.23
  6. Step 6: Final answer
    x = 43,598.30

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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.