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Finding the Fourth Proportional to 92,502.64, 138,826.86 and 47,522.16

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Solution

The fourth proportional to 92,502.64, 138,826.86 and 47,522.16 is: 71,320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,502.64 : 138,826.86 = 47,522.16 : x
  2. Step 2: Convert to fraction form
    92,502.64/138,826.86 = 47,522.16/x
  3. Step 3: Cross multiply
    92,502.64x = 138,826.86 × 47,522.16
  4. Step 4: Simplify right side
    92,502.64x = 6,597,352,253.22
  5. Step 5: Solve for x
    x = 6,597,352,253.22/92,502.64
  6. Step 6: Final answer
    x = 71,320.69

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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.