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Finding the Fourth Proportional to 29,893.68, 44,831.61 and 10,167.78

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Solution

The fourth proportional to 29,893.68, 44,831.61 and 10,167.78 is: 15,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,893.68 : 44,831.61 = 10,167.78 : x
  2. Step 2: Convert to fraction form
    29,893.68/44,831.61 = 10,167.78/x
  3. Step 3: Cross multiply
    29,893.68x = 44,831.61 × 10,167.78
  4. Step 4: Simplify right side
    29,893.68x = 455,837,947.53
  5. Step 5: Solve for x
    x = 455,837,947.53/29,893.68
  6. Step 6: Final answer
    x = 15,248.64

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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.