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Finding the Fourth Proportional to 92,641.98, 138,976.80 and 29,464.17

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Solution

The fourth proportional to 92,641.98, 138,976.80 and 29,464.17 is: 44,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,641.98 : 138,976.80 = 29,464.17 : x
  2. Step 2: Convert to fraction form
    92,641.98/138,976.80 = 29,464.17/x
  3. Step 3: Cross multiply
    92,641.98x = 138,976.80 × 29,464.17
  4. Step 4: Simplify right side
    92,641.98x = 4,094,835,795.95
  5. Step 5: Solve for x
    x = 4,094,835,795.95/92,641.98
  6. Step 6: Final answer
    x = 44,200.65

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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.