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Finding the Fourth Proportional to 61,825.92, 92,746.12 and 19,691.20

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Solution

The fourth proportional to 61,825.92, 92,746.12 and 19,691.20 is: 29,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,825.92 : 92,746.12 = 19,691.20 : x
  2. Step 2: Convert to fraction form
    61,825.92/92,746.12 = 19,691.20/x
  3. Step 3: Cross multiply
    61,825.92x = 92,746.12 × 19,691.20
  4. Step 4: Simplify right side
    61,825.92x = 1,826,282,398.14
  5. Step 5: Solve for x
    x = 1,826,282,398.14/61,825.92
  6. Step 6: Final answer
    x = 29,539.11

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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.