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Finding the Fourth Proportional to 32,744.16, 49,085.76 and 11,952

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Solution

The fourth proportional to 32,744.16, 49,085.76 and 11,952 is: 17,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744.16 : 49,085.76 = 11,952 : x
  2. Step 2: Convert to fraction form
    32,744.16/49,085.76 = 11,952/x
  3. Step 3: Cross multiply
    32,744.16x = 49,085.76 × 11,952
  4. Step 4: Simplify right side
    32,744.16x = 586,673,003.52
  5. Step 5: Solve for x
    x = 586,673,003.52/32,744.16
  6. Step 6: Final answer
    x = 17,916.87

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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.