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Finding the Fourth Proportional to 92,472.32, 138,675.68 and 33,292.10

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Solution

The fourth proportional to 92,472.32, 138,675.68 and 33,292.10 is: 49,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,472.32 : 138,675.68 = 33,292.10 : x
  2. Step 2: Convert to fraction form
    92,472.32/138,675.68 = 33,292.10/x
  3. Step 3: Cross multiply
    92,472.32x = 138,675.68 × 33,292.10
  4. Step 4: Simplify right side
    92,472.32x = 4,616,804,911.20
  5. Step 5: Solve for x
    x = 4,616,804,911.20/92,472.32
  6. Step 6: Final answer
    x = 49,926.34

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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.