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Finding the Fourth Proportional to 29,729.95, 44,599.54 and 10,006.97

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Solution

The fourth proportional to 29,729.95, 44,599.54 and 10,006.97 is: 15,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729.95 : 44,599.54 = 10,006.97 : x
  2. Step 2: Convert to fraction form
    29,729.95/44,599.54 = 10,006.97/x
  3. Step 3: Cross multiply
    29,729.95x = 44,599.54 × 10,006.97
  4. Step 4: Simplify right side
    29,729.95x = 446,306,258.79
  5. Step 5: Solve for x
    x = 446,306,258.79/29,729.95
  6. Step 6: Final answer
    x = 15,012.01

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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.