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Finding the Fourth Proportional to 65,765.40, 98,648.10 and 24,228.60

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Solution

The fourth proportional to 65,765.40, 98,648.10 and 24,228.60 is: 36,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,765.40 : 98,648.10 = 24,228.60 : x
  2. Step 2: Convert to fraction form
    65,765.40/98,648.10 = 24,228.60/x
  3. Step 3: Cross multiply
    65,765.40x = 98,648.10 × 24,228.60
  4. Step 4: Simplify right side
    65,765.40x = 2,390,105,355.66
  5. Step 5: Solve for x
    x = 2,390,105,355.66/65,765.40
  6. Step 6: Final answer
    x = 36,342.90

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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.