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Finding the Fourth Proportional to 49,657.90, 74,489.28 and 16,377.82

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Solution

The fourth proportional to 49,657.90, 74,489.28 and 16,377.82 is: 24,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,657.90 : 74,489.28 = 16,377.82 : x
  2. Step 2: Convert to fraction form
    49,657.90/74,489.28 = 16,377.82/x
  3. Step 3: Cross multiply
    49,657.90x = 74,489.28 × 16,377.82
  4. Step 4: Simplify right side
    49,657.90x = 1,219,972,019.77
  5. Step 5: Solve for x
    x = 1,219,972,019.77/49,657.90
  6. Step 6: Final answer
    x = 24,567.53

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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.