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Finding the Fourth Proportional to 68,470.80, 102,706.20 and 24,097.20

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Solution

The fourth proportional to 68,470.80, 102,706.20 and 24,097.20 is: 36,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,470.80 : 102,706.20 = 24,097.20 : x
  2. Step 2: Convert to fraction form
    68,470.80/102,706.20 = 24,097.20/x
  3. Step 3: Cross multiply
    68,470.80x = 102,706.20 × 24,097.20
  4. Step 4: Simplify right side
    68,470.80x = 2,474,931,842.64
  5. Step 5: Solve for x
    x = 2,474,931,842.64/68,470.80
  6. Step 6: Final answer
    x = 36,145.80

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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.