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Finding the Fourth Proportional to 94,900.38, 130,972.14 and 54,615.84

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Solution

The fourth proportional to 94,900.38, 130,972.14 and 54,615.84 is: 75,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,900.38 : 130,972.14 = 54,615.84 : x
  2. Step 2: Convert to fraction form
    94,900.38/130,972.14 = 54,615.84/x
  3. Step 3: Cross multiply
    94,900.38x = 130,972.14 × 54,615.84
  4. Step 4: Simplify right side
    94,900.38x = 7,153,153,442.70
  5. Step 5: Solve for x
    x = 7,153,153,442.70/94,900.38
  6. Step 6: Final answer
    x = 75,375.39

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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.