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Finding the Fourth Proportional to 48,611.47, 67,082.61 and 28,197.14

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Solution

The fourth proportional to 48,611.47, 67,082.61 and 28,197.14 is: 38,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,611.47 : 67,082.61 = 28,197.14 : x
  2. Step 2: Convert to fraction form
    48,611.47/67,082.61 = 28,197.14/x
  3. Step 3: Cross multiply
    48,611.47x = 67,082.61 × 28,197.14
  4. Step 4: Simplify right side
    48,611.47x = 1,891,537,745.74
  5. Step 5: Solve for x
    x = 1,891,537,745.74/48,611.47
  6. Step 6: Final answer
    x = 38,911.35

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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.