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Finding the Fourth Proportional to 34,132.54, 51,221.87 and 11,946.10

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Solution

The fourth proportional to 34,132.54, 51,221.87 and 11,946.10 is: 17,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,132.54 : 51,221.87 = 11,946.10 : x
  2. Step 2: Convert to fraction form
    34,132.54/51,221.87 = 11,946.10/x
  3. Step 3: Cross multiply
    34,132.54x = 51,221.87 × 11,946.10
  4. Step 4: Simplify right side
    34,132.54x = 611,901,581.21
  5. Step 5: Solve for x
    x = 611,901,581.21/34,132.54
  6. Step 6: Final answer
    x = 17,927.22

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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.