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Finding the Fourth Proportional to 47,358.61, 71,019.34 and 17,760.31

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Solution

The fourth proportional to 47,358.61, 71,019.34 and 17,760.31 is: 26,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358.61 : 71,019.34 = 17,760.31 : x
  2. Step 2: Convert to fraction form
    47,358.61/71,019.34 = 17,760.31/x
  3. Step 3: Cross multiply
    47,358.61x = 71,019.34 × 17,760.31
  4. Step 4: Simplify right side
    47,358.61x = 1,261,325,494.40
  5. Step 5: Solve for x
    x = 1,261,325,494.40/47,358.61
  6. Step 6: Final answer
    x = 26,633.50

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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.