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Finding the Fourth Proportional to 31,726.32, 47,579.88 and 13,254

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Solution

The fourth proportional to 31,726.32, 47,579.88 and 13,254 is: 19,876.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726.32 : 47,579.88 = 13,254 : x
  2. Step 2: Convert to fraction form
    31,726.32/47,579.88 = 13,254/x
  3. Step 3: Cross multiply
    31,726.32x = 47,579.88 × 13,254
  4. Step 4: Simplify right side
    31,726.32x = 630,623,729.52
  5. Step 5: Solve for x
    x = 630,623,729.52/31,726.32
  6. Step 6: Final answer
    x = 19,876.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.