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Finding the Fourth Proportional to 31,616.19, 47,408.67 and 10,548.99

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Solution

The fourth proportional to 31,616.19, 47,408.67 and 10,548.99 is: 15,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.19 : 47,408.67 = 10,548.99 : x
  2. Step 2: Convert to fraction form
    31,616.19/47,408.67 = 10,548.99/x
  3. Step 3: Cross multiply
    31,616.19x = 47,408.67 × 10,548.99
  4. Step 4: Simplify right side
    31,616.19x = 500,113,585.74
  5. Step 5: Solve for x
    x = 500,113,585.74/31,616.19
  6. Step 6: Final answer
    x = 15,818.27

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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.