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Finding the Fourth Proportional to 49,598, 68,441.76 and 28,081.56

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Solution

The fourth proportional to 49,598, 68,441.76 and 28,081.56 is: 38,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,598 : 68,441.76 = 28,081.56 : x
  2. Step 2: Convert to fraction form
    49,598/68,441.76 = 28,081.56/x
  3. Step 3: Cross multiply
    49,598x = 68,441.76 × 28,081.56
  4. Step 4: Simplify right side
    49,598x = 1,921,951,389.95
  5. Step 5: Solve for x
    x = 1,921,951,389.95/49,598
  6. Step 6: Final answer
    x = 38,750.58

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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.