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Finding the Fourth Proportional to 52,132.66, 71,941.14 and 28,258.82

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Solution

The fourth proportional to 52,132.66, 71,941.14 and 28,258.82 is: 38,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132.66 : 71,941.14 = 28,258.82 : x
  2. Step 2: Convert to fraction form
    52,132.66/71,941.14 = 28,258.82/x
  3. Step 3: Cross multiply
    52,132.66x = 71,941.14 × 28,258.82
  4. Step 4: Simplify right side
    52,132.66x = 2,032,971,584.56
  5. Step 5: Solve for x
    x = 2,032,971,584.56/52,132.66
  6. Step 6: Final answer
    x = 38,996.12

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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.