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Finding the Fourth Proportional to 71,706.86, 107,557.86 and 27,332

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Solution

The fourth proportional to 71,706.86, 107,557.86 and 27,332 is: 40,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706.86 : 107,557.86 = 27,332 : x
  2. Step 2: Convert to fraction form
    71,706.86/107,557.86 = 27,332/x
  3. Step 3: Cross multiply
    71,706.86x = 107,557.86 × 27,332
  4. Step 4: Simplify right side
    71,706.86x = 2,939,771,429.52
  5. Step 5: Solve for x
    x = 2,939,771,429.52/71,706.86
  6. Step 6: Final answer
    x = 40,997.07

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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.