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Finding the Fourth Proportional to 47,616.41, 71,439.41 and 19,538.74

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Solution

The fourth proportional to 47,616.41, 71,439.41 and 19,538.74 is: 29,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,616.41 : 71,439.41 = 19,538.74 : x
  2. Step 2: Convert to fraction form
    47,616.41/71,439.41 = 19,538.74/x
  3. Step 3: Cross multiply
    47,616.41x = 71,439.41 × 19,538.74
  4. Step 4: Simplify right side
    47,616.41x = 1,395,836,195.89
  5. Step 5: Solve for x
    x = 1,395,836,195.89/47,616.41
  6. Step 6: Final answer
    x = 29,314.19

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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.