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Finding the Fourth Proportional to 96,312.31, 144,432.54 and 33,114.54

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Solution

The fourth proportional to 96,312.31, 144,432.54 and 33,114.54 is: 49,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,312.31 : 144,432.54 = 33,114.54 : x
  2. Step 2: Convert to fraction form
    96,312.31/144,432.54 = 33,114.54/x
  3. Step 3: Cross multiply
    96,312.31x = 144,432.54 × 33,114.54
  4. Step 4: Simplify right side
    96,312.31x = 4,782,817,123.13
  5. Step 5: Solve for x
    x = 4,782,817,123.13/96,312.31
  6. Step 6: Final answer
    x = 49,659.46

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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.