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Finding the Fourth Proportional to 34,141.30, 51,221.84 and 10,126.22

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Solution

The fourth proportional to 34,141.30, 51,221.84 and 10,126.22 is: 15,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.30 : 51,221.84 = 10,126.22 : x
  2. Step 2: Convert to fraction form
    34,141.30/51,221.84 = 10,126.22/x
  3. Step 3: Cross multiply
    34,141.30x = 51,221.84 × 10,126.22
  4. Step 4: Simplify right side
    34,141.30x = 518,683,313.90
  5. Step 5: Solve for x
    x = 518,683,313.90/34,141.30
  6. Step 6: Final answer
    x = 15,192.26

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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.