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Finding the Fourth Proportional to 52,658.32, 78,978.92 and 17,597.92

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Solution

The fourth proportional to 52,658.32, 78,978.92 and 17,597.92 is: 26,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,658.32 : 78,978.92 = 17,597.92 : x
  2. Step 2: Convert to fraction form
    52,658.32/78,978.92 = 17,597.92/x
  3. Step 3: Cross multiply
    52,658.32x = 78,978.92 × 17,597.92
  4. Step 4: Simplify right side
    52,658.32x = 1,389,864,715.85
  5. Step 5: Solve for x
    x = 1,389,864,715.85/52,658.32
  6. Step 6: Final answer
    x = 26,394.02

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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.