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Finding the Fourth Proportional to 106,674, 160,036.92 and 32,802

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Solution

The fourth proportional to 106,674, 160,036.92 and 32,802 is: 49,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,674 : 160,036.92 = 32,802 : x
  2. Step 2: Convert to fraction form
    106,674/160,036.92 = 32,802/x
  3. Step 3: Cross multiply
    106,674x = 160,036.92 × 32,802
  4. Step 4: Simplify right side
    106,674x = 5,249,531,049.84
  5. Step 5: Solve for x
    x = 5,249,531,049.84/106,674
  6. Step 6: Final answer
    x = 49,210.97

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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.