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Finding the Fourth Proportional to 29,790.40, 44,670.32 and 15,758

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Solution

The fourth proportional to 29,790.40, 44,670.32 and 15,758 is: 23,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,790.40 : 44,670.32 = 15,758 : x
  2. Step 2: Convert to fraction form
    29,790.40/44,670.32 = 15,758/x
  3. Step 3: Cross multiply
    29,790.40x = 44,670.32 × 15,758
  4. Step 4: Simplify right side
    29,790.40x = 703,914,902.56
  5. Step 5: Solve for x
    x = 703,914,902.56/29,790.40
  6. Step 6: Final answer
    x = 23,628.92

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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.