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Finding the Fourth Proportional to 32,952.99, 49,424.25 and 10,766.19

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Solution

The fourth proportional to 32,952.99, 49,424.25 and 10,766.19 is: 16,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.99 : 49,424.25 = 10,766.19 : x
  2. Step 2: Convert to fraction form
    32,952.99/49,424.25 = 10,766.19/x
  3. Step 3: Cross multiply
    32,952.99x = 49,424.25 × 10,766.19
  4. Step 4: Simplify right side
    32,952.99x = 532,110,866.11
  5. Step 5: Solve for x
    x = 532,110,866.11/32,952.99
  6. Step 6: Final answer
    x = 16,147.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.