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Finding the Fourth Proportional to 71,207.86, 106,904.13 and 47,666.02

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Solution

The fourth proportional to 71,207.86, 106,904.13 and 47,666.02 is: 71,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,207.86 : 106,904.13 = 47,666.02 : x
  2. Step 2: Convert to fraction form
    71,207.86/106,904.13 = 47,666.02/x
  3. Step 3: Cross multiply
    71,207.86x = 106,904.13 × 47,666.02
  4. Step 4: Simplify right side
    71,207.86x = 5,095,694,398.66
  5. Step 5: Solve for x
    x = 5,095,694,398.66/71,207.86
  6. Step 6: Final answer
    x = 71,560.84

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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.