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Finding the Fourth Proportional to 96,428.90, 144,652.86 and 33,240.71

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Solution

The fourth proportional to 96,428.90, 144,652.86 and 33,240.71 is: 49,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,428.90 : 144,652.86 = 33,240.71 : x
  2. Step 2: Convert to fraction form
    96,428.90/144,652.86 = 33,240.71/x
  3. Step 3: Cross multiply
    96,428.90x = 144,652.86 × 33,240.71
  4. Step 4: Simplify right side
    96,428.90x = 4,808,363,769.93
  5. Step 5: Solve for x
    x = 4,808,363,769.93/96,428.90
  6. Step 6: Final answer
    x = 49,864.34

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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.