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Finding the Fourth Proportional to 29,382, 44,043.84 and 13,771.68

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Solution

The fourth proportional to 29,382, 44,043.84 and 13,771.68 is: 20,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382 : 44,043.84 = 13,771.68 : x
  2. Step 2: Convert to fraction form
    29,382/44,043.84 = 13,771.68/x
  3. Step 3: Cross multiply
    29,382x = 44,043.84 × 13,771.68
  4. Step 4: Simplify right side
    29,382x = 606,557,670.45
  5. Step 5: Solve for x
    x = 606,557,670.45/29,382
  6. Step 6: Final answer
    x = 20,643.85

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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.