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Finding the Fourth Proportional to 96,338.20, 144,513 and 37,174.18

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Solution

The fourth proportional to 96,338.20, 144,513 and 37,174.18 is: 55,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,338.20 : 144,513 = 37,174.18 : x
  2. Step 2: Convert to fraction form
    96,338.20/144,513 = 37,174.18/x
  3. Step 3: Cross multiply
    96,338.20x = 144,513 × 37,174.18
  4. Step 4: Simplify right side
    96,338.20x = 5,372,152,274.34
  5. Step 5: Solve for x
    x = 5,372,152,274.34/96,338.20
  6. Step 6: Final answer
    x = 55,763.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.