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Finding the Fourth Proportional to 34,162.59, 51,246.95 and 9,202.08

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Solution

The fourth proportional to 34,162.59, 51,246.95 and 9,202.08 is: 13,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.59 : 51,246.95 = 9,202.08 : x
  2. Step 2: Convert to fraction form
    34,162.59/51,246.95 = 9,202.08/x
  3. Step 3: Cross multiply
    34,162.59x = 51,246.95 × 9,202.08
  4. Step 4: Simplify right side
    34,162.59x = 471,578,487.65
  5. Step 5: Solve for x
    x = 471,578,487.65/34,162.59
  6. Step 6: Final answer
    x = 13,803.94

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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.