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Finding the Fourth Proportional to 107,386.92, 161,082 and 37,268.46

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Solution

The fourth proportional to 107,386.92, 161,082 and 37,268.46 is: 55,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,386.92 : 161,082 = 37,268.46 : x
  2. Step 2: Convert to fraction form
    107,386.92/161,082 = 37,268.46/x
  3. Step 3: Cross multiply
    107,386.92x = 161,082 × 37,268.46
  4. Step 4: Simplify right side
    107,386.92x = 6,003,278,073.72
  5. Step 5: Solve for x
    x = 6,003,278,073.72/107,386.92
  6. Step 6: Final answer
    x = 55,903.25

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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.