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Finding the Fourth Proportional to 32,950.96, 49,432.65 and 13,231.06

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Solution

The fourth proportional to 32,950.96, 49,432.65 and 13,231.06 is: 19,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.96 : 49,432.65 = 13,231.06 : x
  2. Step 2: Convert to fraction form
    32,950.96/49,432.65 = 13,231.06/x
  3. Step 3: Cross multiply
    32,950.96x = 49,432.65 × 13,231.06
  4. Step 4: Simplify right side
    32,950.96x = 654,046,358.11
  5. Step 5: Solve for x
    x = 654,046,358.11/32,950.96
  6. Step 6: Final answer
    x = 19,849.08

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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.