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Finding the Fourth Proportional to 70,097.76, 96,734.87 and 38,266.65

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Solution

The fourth proportional to 70,097.76, 96,734.87 and 38,266.65 is: 52,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,097.76 : 96,734.87 = 38,266.65 : x
  2. Step 2: Convert to fraction form
    70,097.76/96,734.87 = 38,266.65/x
  3. Step 3: Cross multiply
    70,097.76x = 96,734.87 × 38,266.65
  4. Step 4: Simplify right side
    70,097.76x = 3,701,719,221.75
  5. Step 5: Solve for x
    x = 3,701,719,221.75/70,097.76
  6. Step 6: Final answer
    x = 52,807.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.