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Finding the Fourth Proportional to 92,645.52, 138,934.22 and 31,838.52

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Solution

The fourth proportional to 92,645.52, 138,934.22 and 31,838.52 is: 47,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,645.52 : 138,934.22 = 31,838.52 : x
  2. Step 2: Convert to fraction form
    92,645.52/138,934.22 = 31,838.52/x
  3. Step 3: Cross multiply
    92,645.52x = 138,934.22 × 31,838.52
  4. Step 4: Simplify right side
    92,645.52x = 4,423,459,942.15
  5. Step 5: Solve for x
    x = 4,423,459,942.15/92,645.52
  6. Step 6: Final answer
    x = 47,746.07

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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.