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Finding the Fourth Proportional to 31,871.64, 47,807.46 and 8,498.16

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Solution

The fourth proportional to 31,871.64, 47,807.46 and 8,498.16 is: 12,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.64 : 47,807.46 = 8,498.16 : x
  2. Step 2: Convert to fraction form
    31,871.64/47,807.46 = 8,498.16/x
  3. Step 3: Cross multiply
    31,871.64x = 47,807.46 × 8,498.16
  4. Step 4: Simplify right side
    31,871.64x = 406,275,444.27
  5. Step 5: Solve for x
    x = 406,275,444.27/31,871.64
  6. Step 6: Final answer
    x = 12,747.24

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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.