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Finding the Fourth Proportional to 34,125.64, 51,164.21 and 13,047.93

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Solution

The fourth proportional to 34,125.64, 51,164.21 and 13,047.93 is: 19,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,125.64 : 51,164.21 = 13,047.93 : x
  2. Step 2: Convert to fraction form
    34,125.64/51,164.21 = 13,047.93/x
  3. Step 3: Cross multiply
    34,125.64x = 51,164.21 × 13,047.93
  4. Step 4: Simplify right side
    34,125.64x = 667,587,063.21
  5. Step 5: Solve for x
    x = 667,587,063.21/34,125.64
  6. Step 6: Final answer
    x = 19,562.63

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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.