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Finding the Fourth Proportional to 96,086.92, 144,130.40 and 49,309.96

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Solution

The fourth proportional to 96,086.92, 144,130.40 and 49,309.96 is: 73,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,086.92 : 144,130.40 = 49,309.96 : x
  2. Step 2: Convert to fraction form
    96,086.92/144,130.40 = 49,309.96/x
  3. Step 3: Cross multiply
    96,086.92x = 144,130.40 × 49,309.96
  4. Step 4: Simplify right side
    96,086.92x = 7,107,064,258.78
  5. Step 5: Solve for x
    x = 7,107,064,258.78/96,086.92
  6. Step 6: Final answer
    x = 73,964.95

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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.