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Finding the Fourth Proportional to 31,679.51, 47,521.82 and 8,305.88

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Solution

The fourth proportional to 31,679.51, 47,521.82 and 8,305.88 is: 12,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679.51 : 47,521.82 = 8,305.88 : x
  2. Step 2: Convert to fraction form
    31,679.51/47,521.82 = 8,305.88/x
  3. Step 3: Cross multiply
    31,679.51x = 47,521.82 × 8,305.88
  4. Step 4: Simplify right side
    31,679.51x = 394,710,317.46
  5. Step 5: Solve for x
    x = 394,710,317.46/31,679.51
  6. Step 6: Final answer
    x = 12,459.49

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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.