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Finding the Fourth Proportional to 31,726.72, 47,592.42 and 8,353

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Solution

The fourth proportional to 31,726.72, 47,592.42 and 8,353 is: 12,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726.72 : 47,592.42 = 8,353 : x
  2. Step 2: Convert to fraction form
    31,726.72/47,592.42 = 8,353/x
  3. Step 3: Cross multiply
    31,726.72x = 47,592.42 × 8,353
  4. Step 4: Simplify right side
    31,726.72x = 397,539,484.26
  5. Step 5: Solve for x
    x = 397,539,484.26/31,726.72
  6. Step 6: Final answer
    x = 12,530.12

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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.