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Finding the Fourth Proportional to 92,464.71, 138,712.89 and 29,283.65

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Solution

The fourth proportional to 92,464.71, 138,712.89 and 29,283.65 is: 43,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,464.71 : 138,712.89 = 29,283.65 : x
  2. Step 2: Convert to fraction form
    92,464.71/138,712.89 = 29,283.65/x
  3. Step 3: Cross multiply
    92,464.71x = 138,712.89 × 29,283.65
  4. Step 4: Simplify right side
    92,464.71x = 4,062,019,027.68
  5. Step 5: Solve for x
    x = 4,062,019,027.68/92,464.71
  6. Step 6: Final answer
    x = 43,930.48

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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.