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Finding the Fourth Proportional to 68,719.80, 103,068.90 and 24,340.20

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Solution

The fourth proportional to 68,719.80, 103,068.90 and 24,340.20 is: 36,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,719.80 : 103,068.90 = 24,340.20 : x
  2. Step 2: Convert to fraction form
    68,719.80/103,068.90 = 24,340.20/x
  3. Step 3: Cross multiply
    68,719.80x = 103,068.90 × 24,340.20
  4. Step 4: Simplify right side
    68,719.80x = 2,508,717,639.78
  5. Step 5: Solve for x
    x = 2,508,717,639.78/68,719.80
  6. Step 6: Final answer
    x = 36,506.47

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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.