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Finding the Fourth Proportional to 47,393.71, 71,083.17 and 15,804.32

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Solution

The fourth proportional to 47,393.71, 71,083.17 and 15,804.32 is: 23,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,393.71 : 71,083.17 = 15,804.32 : x
  2. Step 2: Convert to fraction form
    47,393.71/71,083.17 = 15,804.32/x
  3. Step 3: Cross multiply
    47,393.71x = 71,083.17 × 15,804.32
  4. Step 4: Simplify right side
    47,393.71x = 1,123,420,809.88
  5. Step 5: Solve for x
    x = 1,123,420,809.88/47,393.71
  6. Step 6: Final answer
    x = 23,704.01

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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.