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Finding the Fourth Proportional to 92,054.78, 138,066.47 and 25,479.31

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Solution

The fourth proportional to 92,054.78, 138,066.47 and 25,479.31 is: 38,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,054.78 : 138,066.47 = 25,479.31 : x
  2. Step 2: Convert to fraction form
    92,054.78/138,066.47 = 25,479.31/x
  3. Step 3: Cross multiply
    92,054.78x = 138,066.47 × 25,479.31
  4. Step 4: Simplify right side
    92,054.78x = 3,517,838,414.92
  5. Step 5: Solve for x
    x = 3,517,838,414.92/92,054.78
  6. Step 6: Final answer
    x = 38,214.62

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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.