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Finding the Fourth Proportional to 31,587.87, 47,381.04 and 9,401.46

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Solution

The fourth proportional to 31,587.87, 47,381.04 and 9,401.46 is: 14,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587.87 : 47,381.04 = 9,401.46 : x
  2. Step 2: Convert to fraction form
    31,587.87/47,381.04 = 9,401.46/x
  3. Step 3: Cross multiply
    31,587.87x = 47,381.04 × 9,401.46
  4. Step 4: Simplify right side
    31,587.87x = 445,450,952.32
  5. Step 5: Solve for x
    x = 445,450,952.32/31,587.87
  6. Step 6: Final answer
    x = 14,101.96

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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.