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Finding the Fourth Proportional to 65,394.17, 98,076.64 and 30,329.27

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Solution

The fourth proportional to 65,394.17, 98,076.64 and 30,329.27 is: 45,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,394.17 : 98,076.64 = 30,329.27 : x
  2. Step 2: Convert to fraction form
    65,394.17/98,076.64 = 30,329.27/x
  3. Step 3: Cross multiply
    65,394.17x = 98,076.64 × 30,329.27
  4. Step 4: Simplify right side
    65,394.17x = 2,974,592,743.61
  5. Step 5: Solve for x
    x = 2,974,592,743.61/65,394.17
  6. Step 6: Final answer
    x = 45,487.12

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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.