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Finding the Fourth Proportional to 49,402.60, 74,049.53 and 24,405.64

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Solution

The fourth proportional to 49,402.60, 74,049.53 and 24,405.64 is: 36,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,402.60 : 74,049.53 = 24,405.64 : x
  2. Step 2: Convert to fraction form
    49,402.60/74,049.53 = 24,405.64/x
  3. Step 3: Cross multiply
    49,402.60x = 74,049.53 × 24,405.64
  4. Step 4: Simplify right side
    49,402.60x = 1,807,226,171.35
  5. Step 5: Solve for x
    x = 1,807,226,171.35/49,402.60
  6. Step 6: Final answer
    x = 36,581.60

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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.