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Finding the Fourth Proportional to 37,149, 51,265.20 and 20,382

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Solution

The fourth proportional to 37,149, 51,265.20 and 20,382 is: 28,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149 : 51,265.20 = 20,382 : x
  2. Step 2: Convert to fraction form
    37,149/51,265.20 = 20,382/x
  3. Step 3: Cross multiply
    37,149x = 51,265.20 × 20,382
  4. Step 4: Simplify right side
    37,149x = 1,044,887,306.40
  5. Step 5: Solve for x
    x = 1,044,887,306.40/37,149
  6. Step 6: Final answer
    x = 28,126.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.