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Finding the Fourth Proportional to 29,534.70, 44,302.05 and 13,982.70

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Solution

The fourth proportional to 29,534.70, 44,302.05 and 13,982.70 is: 20,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.70 : 44,302.05 = 13,982.70 : x
  2. Step 2: Convert to fraction form
    29,534.70/44,302.05 = 13,982.70/x
  3. Step 3: Cross multiply
    29,534.70x = 44,302.05 × 13,982.70
  4. Step 4: Simplify right side
    29,534.70x = 619,462,274.54
  5. Step 5: Solve for x
    x = 619,462,274.54/29,534.70
  6. Step 6: Final answer
    x = 20,974.05

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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.