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Finding the Fourth Proportional to 51,374.75, 77,062.13 and 14,438.75

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Solution

The fourth proportional to 51,374.75, 77,062.13 and 14,438.75 is: 21,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,374.75 : 77,062.13 = 14,438.75 : x
  2. Step 2: Convert to fraction form
    51,374.75/77,062.13 = 14,438.75/x
  3. Step 3: Cross multiply
    51,374.75x = 77,062.13 × 14,438.75
  4. Step 4: Simplify right side
    51,374.75x = 1,112,680,757.34
  5. Step 5: Solve for x
    x = 1,112,680,757.34/51,374.75
  6. Step 6: Final answer
    x = 21,658.13

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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.