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Finding the Fourth Proportional to 92,359.62, 138,489.75 and 47,876.10

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Solution

The fourth proportional to 92,359.62, 138,489.75 and 47,876.10 is: 71,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,359.62 : 138,489.75 = 47,876.10 : x
  2. Step 2: Convert to fraction form
    92,359.62/138,489.75 = 47,876.10/x
  3. Step 3: Cross multiply
    92,359.62x = 138,489.75 × 47,876.10
  4. Step 4: Simplify right side
    92,359.62x = 6,630,349,119.98
  5. Step 5: Solve for x
    x = 6,630,349,119.98/92,359.62
  6. Step 6: Final answer
    x = 71,788.40

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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.