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Finding the Fourth Proportional to 96,576.84, 144,865.26 and 26,456.76

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Solution

The fourth proportional to 96,576.84, 144,865.26 and 26,456.76 is: 39,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,576.84 : 144,865.26 = 26,456.76 : x
  2. Step 2: Convert to fraction form
    96,576.84/144,865.26 = 26,456.76/x
  3. Step 3: Cross multiply
    96,576.84x = 144,865.26 × 26,456.76
  4. Step 4: Simplify right side
    96,576.84x = 3,832,665,416.16
  5. Step 5: Solve for x
    x = 3,832,665,416.16/96,576.84
  6. Step 6: Final answer
    x = 39,685.14

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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.