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Finding the Fourth Proportional to 49,807.74, 74,711.88 and 14,747.70

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Solution

The fourth proportional to 49,807.74, 74,711.88 and 14,747.70 is: 22,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,807.74 : 74,711.88 = 14,747.70 : x
  2. Step 2: Convert to fraction form
    49,807.74/74,711.88 = 14,747.70/x
  3. Step 3: Cross multiply
    49,807.74x = 74,711.88 × 14,747.70
  4. Step 4: Simplify right side
    49,807.74x = 1,101,828,392.68
  5. Step 5: Solve for x
    x = 1,101,828,392.68/49,807.74
  6. Step 6: Final answer
    x = 22,121.63

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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.