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Finding the Fourth Proportional to 34,810.24, 52,214.88 and 10,186.24

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Solution

The fourth proportional to 34,810.24, 52,214.88 and 10,186.24 is: 15,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,810.24 : 52,214.88 = 10,186.24 : x
  2. Step 2: Convert to fraction form
    34,810.24/52,214.88 = 10,186.24/x
  3. Step 3: Cross multiply
    34,810.24x = 52,214.88 × 10,186.24
  4. Step 4: Simplify right side
    34,810.24x = 531,873,299.25
  5. Step 5: Solve for x
    x = 531,873,299.25/34,810.24
  6. Step 6: Final answer
    x = 15,279.22

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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.