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Finding the Fourth Proportional to 29,868.16, 44,811.96 and 14,287

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Solution

The fourth proportional to 29,868.16, 44,811.96 and 14,287 is: 21,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868.16 : 44,811.96 = 14,287 : x
  2. Step 2: Convert to fraction form
    29,868.16/44,811.96 = 14,287/x
  3. Step 3: Cross multiply
    29,868.16x = 44,811.96 × 14,287
  4. Step 4: Simplify right side
    29,868.16x = 640,228,472.52
  5. Step 5: Solve for x
    x = 640,228,472.52/29,868.16
  6. Step 6: Final answer
    x = 21,435.15

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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.