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Finding the Fourth Proportional to 32,010.71, 48,021.24 and 12,021.75

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Solution

The fourth proportional to 32,010.71, 48,021.24 and 12,021.75 is: 18,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010.71 : 48,021.24 = 12,021.75 : x
  2. Step 2: Convert to fraction form
    32,010.71/48,021.24 = 12,021.75/x
  3. Step 3: Cross multiply
    32,010.71x = 48,021.24 × 12,021.75
  4. Step 4: Simplify right side
    32,010.71x = 577,299,341.97
  5. Step 5: Solve for x
    x = 577,299,341.97/32,010.71
  6. Step 6: Final answer
    x = 18,034.57

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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.