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Finding the Fourth Proportional to 96,638.80, 144,983.80 and 34,302.80

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Solution

The fourth proportional to 96,638.80, 144,983.80 and 34,302.80 is: 51,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,638.80 : 144,983.80 = 34,302.80 : x
  2. Step 2: Convert to fraction form
    96,638.80/144,983.80 = 34,302.80/x
  3. Step 3: Cross multiply
    96,638.80x = 144,983.80 × 34,302.80
  4. Step 4: Simplify right side
    96,638.80x = 4,973,350,294.64
  5. Step 5: Solve for x
    x = 4,973,350,294.64/96,638.80
  6. Step 6: Final answer
    x = 51,463.29

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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.