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Finding the Fourth Proportional to 75,449.76, 113,002.40 and 36,034.64

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Solution

The fourth proportional to 75,449.76, 113,002.40 and 36,034.64 is: 53,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,449.76 : 113,002.40 = 36,034.64 : x
  2. Step 2: Convert to fraction form
    75,449.76/113,002.40 = 36,034.64/x
  3. Step 3: Cross multiply
    75,449.76x = 113,002.40 × 36,034.64
  4. Step 4: Simplify right side
    75,449.76x = 4,072,000,803.14
  5. Step 5: Solve for x
    x = 4,072,000,803.14/75,449.76
  6. Step 6: Final answer
    x = 53,969.70

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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.