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Finding the Fourth Proportional to 49,617.50, 74,434.46 and 22,990.10

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Solution

The fourth proportional to 49,617.50, 74,434.46 and 22,990.10 is: 34,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,617.50 : 74,434.46 = 22,990.10 : x
  2. Step 2: Convert to fraction form
    49,617.50/74,434.46 = 22,990.10/x
  3. Step 3: Cross multiply
    49,617.50x = 74,434.46 × 22,990.10
  4. Step 4: Simplify right side
    49,617.50x = 1,711,255,191.72
  5. Step 5: Solve for x
    x = 1,711,255,191.72/49,617.50
  6. Step 6: Final answer
    x = 34,488.95

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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.