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Finding the Fourth Proportional to 71,710.78, 107,565.30 and 32,240.02

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Solution

The fourth proportional to 71,710.78, 107,565.30 and 32,240.02 is: 48,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,710.78 : 107,565.30 = 32,240.02 : x
  2. Step 2: Convert to fraction form
    71,710.78/107,565.30 = 32,240.02/x
  3. Step 3: Cross multiply
    71,710.78x = 107,565.30 × 32,240.02
  4. Step 4: Simplify right side
    71,710.78x = 3,467,907,423.31
  5. Step 5: Solve for x
    x = 3,467,907,423.31/71,710.78
  6. Step 6: Final answer
    x = 48,359.64

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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.