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Finding the Fourth Proportional to 83,101.87, 114,689.61 and 51,269.95

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Solution

The fourth proportional to 83,101.87, 114,689.61 and 51,269.95 is: 70,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.87 : 114,689.61 = 51,269.95 : x
  2. Step 2: Convert to fraction form
    83,101.87/114,689.61 = 51,269.95/x
  3. Step 3: Cross multiply
    83,101.87x = 114,689.61 × 51,269.95
  4. Step 4: Simplify right side
    83,101.87x = 5,880,129,740.42
  5. Step 5: Solve for x
    x = 5,880,129,740.42/83,101.87
  6. Step 6: Final answer
    x = 70,758.10

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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.