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Finding the Fourth Proportional to 31,908.12, 47,868 and 9,718.98

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Solution

The fourth proportional to 31,908.12, 47,868 and 9,718.98 is: 14,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.12 : 47,868 = 9,718.98 : x
  2. Step 2: Convert to fraction form
    31,908.12/47,868 = 9,718.98/x
  3. Step 3: Cross multiply
    31,908.12x = 47,868 × 9,718.98
  4. Step 4: Simplify right side
    31,908.12x = 465,228,134.64
  5. Step 5: Solve for x
    x = 465,228,134.64/31,908.12
  6. Step 6: Final answer
    x = 14,580.24

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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.