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Finding the Fourth Proportional to 49,874.80, 74,711.40 and 31,097.20

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Solution

The fourth proportional to 49,874.80, 74,711.40 and 31,097.20 is: 46,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874.80 : 74,711.40 = 31,097.20 : x
  2. Step 2: Convert to fraction form
    49,874.80/74,711.40 = 31,097.20/x
  3. Step 3: Cross multiply
    49,874.80x = 74,711.40 × 31,097.20
  4. Step 4: Simplify right side
    49,874.80x = 2,323,315,348.08
  5. Step 5: Solve for x
    x = 2,323,315,348.08/49,874.80
  6. Step 6: Final answer
    x = 46,582.95

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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.