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Finding the Fourth Proportional to 31,408.60, 47,064.30 and 21,008.20

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Solution

The fourth proportional to 31,408.60, 47,064.30 and 21,008.20 is: 31,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.60 : 47,064.30 = 21,008.20 : x
  2. Step 2: Convert to fraction form
    31,408.60/47,064.30 = 21,008.20/x
  3. Step 3: Cross multiply
    31,408.60x = 47,064.30 × 21,008.20
  4. Step 4: Simplify right side
    31,408.60x = 988,736,227.26
  5. Step 5: Solve for x
    x = 988,736,227.26/31,408.60
  6. Step 6: Final answer
    x = 31,479.79

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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.