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Finding the Fourth Proportional to 71,655.94, 107,484.98 and 27,285.16

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Solution

The fourth proportional to 71,655.94, 107,484.98 and 27,285.16 is: 40,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,655.94 : 107,484.98 = 27,285.16 : x
  2. Step 2: Convert to fraction form
    71,655.94/107,484.98 = 27,285.16/x
  3. Step 3: Cross multiply
    71,655.94x = 107,484.98 × 27,285.16
  4. Step 4: Simplify right side
    71,655.94x = 2,932,744,876.90
  5. Step 5: Solve for x
    x = 2,932,744,876.90/71,655.94
  6. Step 6: Final answer
    x = 40,928.15

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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.