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Finding the Fourth Proportional to 65,710.40, 98,565.60 and 24,148.80

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Solution

The fourth proportional to 65,710.40, 98,565.60 and 24,148.80 is: 36,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710.40 : 98,565.60 = 24,148.80 : x
  2. Step 2: Convert to fraction form
    65,710.40/98,565.60 = 24,148.80/x
  3. Step 3: Cross multiply
    65,710.40x = 98,565.60 × 24,148.80
  4. Step 4: Simplify right side
    65,710.40x = 2,380,240,961.28
  5. Step 5: Solve for x
    x = 2,380,240,961.28/65,710.40
  6. Step 6: Final answer
    x = 36,223.20

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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.