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Finding the Fourth Proportional to 52,196.61, 78,294.92 and 15,260.61

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Solution

The fourth proportional to 52,196.61, 78,294.92 and 15,260.61 is: 22,890.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,196.61 : 78,294.92 = 15,260.61 : x
  2. Step 2: Convert to fraction form
    52,196.61/78,294.92 = 15,260.61/x
  3. Step 3: Cross multiply
    52,196.61x = 78,294.92 × 15,260.61
  4. Step 4: Simplify right side
    52,196.61x = 1,194,828,239.10
  5. Step 5: Solve for x
    x = 1,194,828,239.10/52,196.61
  6. Step 6: Final answer
    x = 22,890.92

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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.