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Finding the Fourth Proportional to 65,695.32, 98,545.50 and 22,992.48

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Solution

The fourth proportional to 65,695.32, 98,545.50 and 22,992.48 is: 34,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.32 : 98,545.50 = 22,992.48 : x
  2. Step 2: Convert to fraction form
    65,695.32/98,545.50 = 22,992.48/x
  3. Step 3: Cross multiply
    65,695.32x = 98,545.50 × 22,992.48
  4. Step 4: Simplify right side
    65,695.32x = 2,265,805,437.84
  5. Step 5: Solve for x
    x = 2,265,805,437.84/65,695.32
  6. Step 6: Final answer
    x = 34,489.60

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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.