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Finding the Fourth Proportional to 29,441.77, 44,167.03 and 13,648.40

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Solution

The fourth proportional to 29,441.77, 44,167.03 and 13,648.40 is: 20,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,441.77 : 44,167.03 = 13,648.40 : x
  2. Step 2: Convert to fraction form
    29,441.77/44,167.03 = 13,648.40/x
  3. Step 3: Cross multiply
    29,441.77x = 44,167.03 × 13,648.40
  4. Step 4: Simplify right side
    29,441.77x = 602,809,298.89
  5. Step 5: Solve for x
    x = 602,809,298.89/29,441.77
  6. Step 6: Final answer
    x = 20,474.63

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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.