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Finding the Fourth Proportional to 49,503.31, 74,230.39 and 15,764.93

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Solution

The fourth proportional to 49,503.31, 74,230.39 and 15,764.93 is: 23,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,503.31 : 74,230.39 = 15,764.93 : x
  2. Step 2: Convert to fraction form
    49,503.31/74,230.39 = 15,764.93/x
  3. Step 3: Cross multiply
    49,503.31x = 74,230.39 × 15,764.93
  4. Step 4: Simplify right side
    49,503.31x = 1,170,236,531.07
  5. Step 5: Solve for x
    x = 1,170,236,531.07/49,503.31
  6. Step 6: Final answer
    x = 23,639.56

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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.