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Finding the Fourth Proportional to 65,824.96, 98,678.40 and 24,262.24

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Solution

The fourth proportional to 65,824.96, 98,678.40 and 24,262.24 is: 36,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,824.96 : 98,678.40 = 24,262.24 : x
  2. Step 2: Convert to fraction form
    65,824.96/98,678.40 = 24,262.24/x
  3. Step 3: Cross multiply
    65,824.96x = 98,678.40 × 24,262.24
  4. Step 4: Simplify right side
    65,824.96x = 2,394,159,023.62
  5. Step 5: Solve for x
    x = 2,394,159,023.62/65,824.96
  6. Step 6: Final answer
    x = 36,371.60

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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.