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Finding the Fourth Proportional to 92,276.71, 138,365.84 and 47,793.13

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Solution

The fourth proportional to 92,276.71, 138,365.84 and 47,793.13 is: 71,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,276.71 : 138,365.84 = 47,793.13 : x
  2. Step 2: Convert to fraction form
    92,276.71/138,365.84 = 47,793.13/x
  3. Step 3: Cross multiply
    92,276.71x = 138,365.84 × 47,793.13
  4. Step 4: Simplify right side
    92,276.71x = 6,612,936,352.25
  5. Step 5: Solve for x
    x = 6,612,936,352.25/92,276.71
  6. Step 6: Final answer
    x = 71,664.20

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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.