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Finding the Fourth Proportional to 65,416.56, 90,711.42 and 63,200.40

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Solution

The fourth proportional to 65,416.56, 90,711.42 and 63,200.40 is: 87,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,416.56 : 90,711.42 = 63,200.40 : x
  2. Step 2: Convert to fraction form
    65,416.56/90,711.42 = 63,200.40/x
  3. Step 3: Cross multiply
    65,416.56x = 90,711.42 × 63,200.40
  4. Step 4: Simplify right side
    65,416.56x = 5,732,998,028.57
  5. Step 5: Solve for x
    x = 5,732,998,028.57/65,416.56
  6. Step 6: Final answer
    x = 87,638.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.