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Finding the Fourth Proportional to 97,537.68, 146,342.96 and 38,414.56

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Solution

The fourth proportional to 97,537.68, 146,342.96 and 38,414.56 is: 57,636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,537.68 : 146,342.96 = 38,414.56 : x
  2. Step 2: Convert to fraction form
    97,537.68/146,342.96 = 38,414.56/x
  3. Step 3: Cross multiply
    97,537.68x = 146,342.96 × 38,414.56
  4. Step 4: Simplify right side
    97,537.68x = 5,621,700,417.50
  5. Step 5: Solve for x
    x = 5,621,700,417.50/97,537.68
  6. Step 6: Final answer
    x = 57,636.19

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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.