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Finding the Fourth Proportional to 49,085.80, 73,628.70 and 24,129.70

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Solution

The fourth proportional to 49,085.80, 73,628.70 and 24,129.70 is: 36,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,085.80 : 73,628.70 = 24,129.70 : x
  2. Step 2: Convert to fraction form
    49,085.80/73,628.70 = 24,129.70/x
  3. Step 3: Cross multiply
    49,085.80x = 73,628.70 × 24,129.70
  4. Step 4: Simplify right side
    49,085.80x = 1,776,638,442.39
  5. Step 5: Solve for x
    x = 1,776,638,442.39/49,085.80
  6. Step 6: Final answer
    x = 36,194.55

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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.