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Finding the Fourth Proportional to 64,765.16, 97,023.10 and 39,732.11

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Solution

The fourth proportional to 64,765.16, 97,023.10 and 39,732.11 is: 59,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,765.16 : 97,023.10 = 39,732.11 : x
  2. Step 2: Convert to fraction form
    64,765.16/97,023.10 = 39,732.11/x
  3. Step 3: Cross multiply
    64,765.16x = 97,023.10 × 39,732.11
  4. Step 4: Simplify right side
    64,765.16x = 3,854,932,481.74
  5. Step 5: Solve for x
    x = 3,854,932,481.74/64,765.16
  6. Step 6: Final answer
    x = 59,521.70

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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.