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Finding the Fourth Proportional to 65,672.98, 98,491.52 and 23,545.23

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Solution

The fourth proportional to 65,672.98, 98,491.52 and 23,545.23 is: 35,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,672.98 : 98,491.52 = 23,545.23 : x
  2. Step 2: Convert to fraction form
    65,672.98/98,491.52 = 23,545.23/x
  3. Step 3: Cross multiply
    65,672.98x = 98,491.52 × 23,545.23
  4. Step 4: Simplify right side
    65,672.98x = 2,319,005,462.02
  5. Step 5: Solve for x
    x = 2,319,005,462.02/65,672.98
  6. Step 6: Final answer
    x = 35,311.41

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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.