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Finding the Fourth Proportional to 75,757, 113,613.74 and 23,154.12

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Solution

The fourth proportional to 75,757, 113,613.74 and 23,154.12 is: 34,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,757 : 113,613.74 = 23,154.12 : x
  2. Step 2: Convert to fraction form
    75,757/113,613.74 = 23,154.12/x
  3. Step 3: Cross multiply
    75,757x = 113,613.74 × 23,154.12
  4. Step 4: Simplify right side
    75,757x = 2,630,626,169.61
  5. Step 5: Solve for x
    x = 2,630,626,169.61/75,757
  6. Step 6: Final answer
    x = 34,724.53

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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.