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Finding the Fourth Proportional to 96,275.81, 144,484.65 and 45,674.97

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Solution

The fourth proportional to 96,275.81, 144,484.65 and 45,674.97 is: 68,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,275.81 : 144,484.65 = 45,674.97 : x
  2. Step 2: Convert to fraction form
    96,275.81/144,484.65 = 45,674.97/x
  3. Step 3: Cross multiply
    96,275.81x = 144,484.65 × 45,674.97
  4. Step 4: Simplify right side
    96,275.81x = 6,599,332,054.21
  5. Step 5: Solve for x
    x = 6,599,332,054.21/96,275.81
  6. Step 6: Final answer
    x = 68,546.11

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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.