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Finding the Fourth Proportional to 48,262.98, 72,397.86 and 14,978.61

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Solution

The fourth proportional to 48,262.98, 72,397.86 and 14,978.61 is: 22,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,262.98 : 72,397.86 = 14,978.61 : x
  2. Step 2: Convert to fraction form
    48,262.98/72,397.86 = 14,978.61/x
  3. Step 3: Cross multiply
    48,262.98x = 72,397.86 × 14,978.61
  4. Step 4: Simplify right side
    48,262.98x = 1,084,419,309.77
  5. Step 5: Solve for x
    x = 1,084,419,309.77/48,262.98
  6. Step 6: Final answer
    x = 22,468.97

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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.