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Finding the Fourth Proportional to 32,750.12, 49,110.50 and 11,959

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Solution

The fourth proportional to 32,750.12, 49,110.50 and 11,959 is: 17,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,750.12 : 49,110.50 = 11,959 : x
  2. Step 2: Convert to fraction form
    32,750.12/49,110.50 = 11,959/x
  3. Step 3: Cross multiply
    32,750.12x = 49,110.50 × 11,959
  4. Step 4: Simplify right side
    32,750.12x = 587,312,469.50
  5. Step 5: Solve for x
    x = 587,312,469.50/32,750.12
  6. Step 6: Final answer
    x = 17,933.14

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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.