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Finding the Fourth Proportional to 97,645.92, 134,744.98 and 54,617.95

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Solution

The fourth proportional to 97,645.92, 134,744.98 and 54,617.95 is: 75,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,645.92 : 134,744.98 = 54,617.95 : x
  2. Step 2: Convert to fraction form
    97,645.92/134,744.98 = 54,617.95/x
  3. Step 3: Cross multiply
    97,645.92x = 134,744.98 × 54,617.95
  4. Step 4: Simplify right side
    97,645.92x = 7,359,494,580.39
  5. Step 5: Solve for x
    x = 7,359,494,580.39/97,645.92
  6. Step 6: Final answer
    x = 75,369.20

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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.