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Finding the Fourth Proportional to 34,129.20, 51,160.74 and 13,053.02

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Solution

The fourth proportional to 34,129.20, 51,160.74 and 13,053.02 is: 19,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129.20 : 51,160.74 = 13,053.02 : x
  2. Step 2: Convert to fraction form
    34,129.20/51,160.74 = 13,053.02/x
  3. Step 3: Cross multiply
    34,129.20x = 51,160.74 × 13,053.02
  4. Step 4: Simplify right side
    34,129.20x = 667,802,326.06
  5. Step 5: Solve for x
    x = 667,802,326.06/34,129.20
  6. Step 6: Final answer
    x = 19,566.89

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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.