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Finding the Fourth Proportional to 64,564.70, 89,098.65 and 35,884.42

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Solution

The fourth proportional to 64,564.70, 89,098.65 and 35,884.42 is: 49,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,564.70 : 89,098.65 = 35,884.42 : x
  2. Step 2: Convert to fraction form
    64,564.70/89,098.65 = 35,884.42/x
  3. Step 3: Cross multiply
    64,564.70x = 89,098.65 × 35,884.42
  4. Step 4: Simplify right side
    64,564.70x = 3,197,253,155.29
  5. Step 5: Solve for x
    x = 3,197,253,155.29/64,564.70
  6. Step 6: Final answer
    x = 49,520.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.