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Finding the Fourth Proportional to 92,129.86, 138,220.71 and 32,973.94

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Solution

The fourth proportional to 92,129.86, 138,220.71 and 32,973.94 is: 49,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,129.86 : 138,220.71 = 32,973.94 : x
  2. Step 2: Convert to fraction form
    92,129.86/138,220.71 = 32,973.94/x
  3. Step 3: Cross multiply
    92,129.86x = 138,220.71 × 32,973.94
  4. Step 4: Simplify right side
    92,129.86x = 4,557,681,398.30
  5. Step 5: Solve for x
    x = 4,557,681,398.30/92,129.86
  6. Step 6: Final answer
    x = 49,470.19

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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.