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Finding the Fourth Proportional to 35,546.60, 53,319.90 and 24,487.40

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Solution

The fourth proportional to 35,546.60, 53,319.90 and 24,487.40 is: 36,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,546.60 : 53,319.90 = 24,487.40 : x
  2. Step 2: Convert to fraction form
    35,546.60/53,319.90 = 24,487.40/x
  3. Step 3: Cross multiply
    35,546.60x = 53,319.90 × 24,487.40
  4. Step 4: Simplify right side
    35,546.60x = 1,305,665,719.26
  5. Step 5: Solve for x
    x = 1,305,665,719.26/35,546.60
  6. Step 6: Final answer
    x = 36,731.10

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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.