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Finding the Fourth Proportional to 65,670, 98,514.72 and 24,113.76

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Solution

The fourth proportional to 65,670, 98,514.72 and 24,113.76 is: 36,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,670 : 98,514.72 = 24,113.76 : x
  2. Step 2: Convert to fraction form
    65,670/98,514.72 = 24,113.76/x
  3. Step 3: Cross multiply
    65,670x = 98,514.72 × 24,113.76
  4. Step 4: Simplify right side
    65,670x = 2,375,560,314.55
  5. Step 5: Solve for x
    x = 2,375,560,314.55/65,670
  6. Step 6: Final answer
    x = 36,174.21

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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.