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Finding the Fourth Proportional to 34,382.68, 51,574.04 and 9,422.94

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Solution

The fourth proportional to 34,382.68, 51,574.04 and 9,422.94 is: 14,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382.68 : 51,574.04 = 9,422.94 : x
  2. Step 2: Convert to fraction form
    34,382.68/51,574.04 = 9,422.94/x
  3. Step 3: Cross multiply
    34,382.68x = 51,574.04 × 9,422.94
  4. Step 4: Simplify right side
    34,382.68x = 485,979,084.48
  5. Step 5: Solve for x
    x = 485,979,084.48/34,382.68
  6. Step 6: Final answer
    x = 14,134.42

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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.