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Finding the Fourth Proportional to 32,838.27, 49,264.33 and 10,649.92

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Solution

The fourth proportional to 32,838.27, 49,264.33 and 10,649.92 is: 15,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.27 : 49,264.33 = 10,649.92 : x
  2. Step 2: Convert to fraction form
    32,838.27/49,264.33 = 10,649.92/x
  3. Step 3: Cross multiply
    32,838.27x = 49,264.33 × 10,649.92
  4. Step 4: Simplify right side
    32,838.27x = 524,661,003.60
  5. Step 5: Solve for x
    x = 524,661,003.60/32,838.27
  6. Step 6: Final answer
    x = 15,977.12

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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.