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Finding the Fourth Proportional to 65,884.64, 98,658.56 and 36,269.92

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Solution

The fourth proportional to 65,884.64, 98,658.56 and 36,269.92 is: 54,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.64 : 98,658.56 = 36,269.92 : x
  2. Step 2: Convert to fraction form
    65,884.64/98,658.56 = 36,269.92/x
  3. Step 3: Cross multiply
    65,884.64x = 98,658.56 × 36,269.92
  4. Step 4: Simplify right side
    65,884.64x = 3,578,338,078.52
  5. Step 5: Solve for x
    x = 3,578,338,078.52/65,884.64
  6. Step 6: Final answer
    x = 54,312.17

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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.