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Finding the Fourth Proportional to 52,658.72, 78,992.92 and 15,218.32

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Solution

The fourth proportional to 52,658.72, 78,992.92 and 15,218.32 is: 22,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,658.72 : 78,992.92 = 15,218.32 : x
  2. Step 2: Convert to fraction form
    52,658.72/78,992.92 = 15,218.32/x
  3. Step 3: Cross multiply
    52,658.72x = 78,992.92 × 15,218.32
  4. Step 4: Simplify right side
    52,658.72x = 1,202,139,534.29
  5. Step 5: Solve for x
    x = 1,202,139,534.29/52,658.72
  6. Step 6: Final answer
    x = 22,828.88

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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.