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Finding the Fourth Proportional to 44,641.16, 66,974.19 and 36,399

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Solution

The fourth proportional to 44,641.16, 66,974.19 and 36,399 is: 54,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,641.16 : 66,974.19 = 36,399 : x
  2. Step 2: Convert to fraction form
    44,641.16/66,974.19 = 36,399/x
  3. Step 3: Cross multiply
    44,641.16x = 66,974.19 × 36,399
  4. Step 4: Simplify right side
    44,641.16x = 2,437,793,359.82
  5. Step 5: Solve for x
    x = 2,437,793,359.82/44,641.16
  6. Step 6: Final answer
    x = 54,608.65

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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.