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Finding the Fourth Proportional to 29,602.60, 44,382 and 14,002

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Solution

The fourth proportional to 29,602.60, 44,382 and 14,002 is: 20,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,602.60 : 44,382 = 14,002 : x
  2. Step 2: Convert to fraction form
    29,602.60/44,382 = 14,002/x
  3. Step 3: Cross multiply
    29,602.60x = 44,382 × 14,002
  4. Step 4: Simplify right side
    29,602.60x = 621,436,764
  5. Step 5: Solve for x
    x = 621,436,764/29,602.60
  6. Step 6: Final answer
    x = 20,992.64

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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.