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Finding the Fourth Proportional to 75,432.71, 113,173.65 and 35,984.70

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Solution

The fourth proportional to 75,432.71, 113,173.65 and 35,984.70 is: 53,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,432.71 : 113,173.65 = 35,984.70 : x
  2. Step 2: Convert to fraction form
    75,432.71/113,173.65 = 35,984.70/x
  3. Step 3: Cross multiply
    75,432.71x = 113,173.65 × 35,984.70
  4. Step 4: Simplify right side
    75,432.71x = 4,072,519,843.16
  5. Step 5: Solve for x
    x = 4,072,519,843.16/75,432.71
  6. Step 6: Final answer
    x = 53,988.78

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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.