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Finding the Fourth Proportional to 40,983.60, 61,366.05 and 40,983.60

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Solution

The fourth proportional to 40,983.60, 61,366.05 and 40,983.60 is: 61,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,983.60 : 61,366.05 = 40,983.60 : x
  2. Step 2: Convert to fraction form
    40,983.60/61,366.05 = 40,983.60/x
  3. Step 3: Cross multiply
    40,983.60x = 61,366.05 × 40,983.60
  4. Step 4: Simplify right side
    40,983.60x = 2,515,001,646.78
  5. Step 5: Solve for x
    x = 2,515,001,646.78/40,983.60
  6. Step 6: Final answer
    x = 61,366.05

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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.