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Finding the Fourth Proportional to 48,375, 72,559.26 and 13,314.96

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Solution

The fourth proportional to 48,375, 72,559.26 and 13,314.96 is: 19,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,375 : 72,559.26 = 13,314.96 : x
  2. Step 2: Convert to fraction form
    48,375/72,559.26 = 13,314.96/x
  3. Step 3: Cross multiply
    48,375x = 72,559.26 × 13,314.96
  4. Step 4: Simplify right side
    48,375x = 966,123,644.53
  5. Step 5: Solve for x
    x = 966,123,644.53/48,375
  6. Step 6: Final answer
    x = 19,971.55

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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.