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Finding the Fourth Proportional to 34,158.20, 51,242.10 and 10,782.20

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Solution

The fourth proportional to 34,158.20, 51,242.10 and 10,782.20 is: 16,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,158.20 : 51,242.10 = 10,782.20 : x
  2. Step 2: Convert to fraction form
    34,158.20/51,242.10 = 10,782.20/x
  3. Step 3: Cross multiply
    34,158.20x = 51,242.10 × 10,782.20
  4. Step 4: Simplify right side
    34,158.20x = 552,502,570.62
  5. Step 5: Solve for x
    x = 552,502,570.62/34,158.20
  6. Step 6: Final answer
    x = 16,174.82

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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.