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Finding the Fourth Proportional to 34,358.46, 51,544.17 and 10,978.62

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Solution

The fourth proportional to 34,358.46, 51,544.17 and 10,978.62 is: 16,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,358.46 : 51,544.17 = 10,978.62 : x
  2. Step 2: Convert to fraction form
    34,358.46/51,544.17 = 10,978.62/x
  3. Step 3: Cross multiply
    34,358.46x = 51,544.17 × 10,978.62
  4. Step 4: Simplify right side
    34,358.46x = 565,883,855.65
  5. Step 5: Solve for x
    x = 565,883,855.65/34,358.46
  6. Step 6: Final answer
    x = 16,470.00

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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.