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Finding the Fourth Proportional to 81,505.76, 112,487.16 and 54,280.34

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Solution

The fourth proportional to 81,505.76, 112,487.16 and 54,280.34 is: 74,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,505.76 : 112,487.16 = 54,280.34 : x
  2. Step 2: Convert to fraction form
    81,505.76/112,487.16 = 54,280.34/x
  3. Step 3: Cross multiply
    81,505.76x = 112,487.16 × 54,280.34
  4. Step 4: Simplify right side
    81,505.76x = 6,105,841,353.38
  5. Step 5: Solve for x
    x = 6,105,841,353.38/81,505.76
  6. Step 6: Final answer
    x = 74,913.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.