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Finding the Fourth Proportional to 94,294.18, 130,126.89 and 51,853

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Solution

The fourth proportional to 94,294.18, 130,126.89 and 51,853 is: 71,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,294.18 : 130,126.89 = 51,853 : x
  2. Step 2: Convert to fraction form
    94,294.18/130,126.89 = 51,853/x
  3. Step 3: Cross multiply
    94,294.18x = 130,126.89 × 51,853
  4. Step 4: Simplify right side
    94,294.18x = 6,747,469,627.17
  5. Step 5: Solve for x
    x = 6,747,469,627.17/94,294.18
  6. Step 6: Final answer
    x = 71,557.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.