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Finding the Fourth Proportional to 34,473.83, 51,662.90 and 15,708

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Solution

The fourth proportional to 34,473.83, 51,662.90 and 15,708 is: 23,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,473.83 : 51,662.90 = 15,708 : x
  2. Step 2: Convert to fraction form
    34,473.83/51,662.90 = 15,708/x
  3. Step 3: Cross multiply
    34,473.83x = 51,662.90 × 15,708
  4. Step 4: Simplify right side
    34,473.83x = 811,520,833.20
  5. Step 5: Solve for x
    x = 811,520,833.20/34,473.83
  6. Step 6: Final answer
    x = 23,540.20

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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.