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Finding the Fourth Proportional to 92,068.92, 138,232.62 and 47,122.38

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Solution

The fourth proportional to 92,068.92, 138,232.62 and 47,122.38 is: 70,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,068.92 : 138,232.62 = 47,122.38 : x
  2. Step 2: Convert to fraction form
    92,068.92/138,232.62 = 47,122.38/x
  3. Step 3: Cross multiply
    92,068.92x = 138,232.62 × 47,122.38
  4. Step 4: Simplify right side
    92,068.92x = 6,513,850,048.04
  5. Step 5: Solve for x
    x = 6,513,850,048.04/92,068.92
  6. Step 6: Final answer
    x = 70,749.72

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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.