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Finding the Fourth Proportional to 34,043.54, 51,070.10 and 11,853.69

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Solution

The fourth proportional to 34,043.54, 51,070.10 and 11,853.69 is: 17,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,043.54 : 51,070.10 = 11,853.69 : x
  2. Step 2: Convert to fraction form
    34,043.54/51,070.10 = 11,853.69/x
  3. Step 3: Cross multiply
    34,043.54x = 51,070.10 × 11,853.69
  4. Step 4: Simplify right side
    34,043.54x = 605,369,170.16
  5. Step 5: Solve for x
    x = 605,369,170.16/34,043.54
  6. Step 6: Final answer
    x = 17,782.20

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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.