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Finding the Fourth Proportional to 31,914, 47,870.97 and 14,363.32

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Solution

The fourth proportional to 31,914, 47,870.97 and 14,363.32 is: 21,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914 : 47,870.97 = 14,363.32 : x
  2. Step 2: Convert to fraction form
    31,914/47,870.97 = 14,363.32/x
  3. Step 3: Cross multiply
    31,914x = 47,870.97 × 14,363.32
  4. Step 4: Simplify right side
    31,914x = 687,586,060.82
  5. Step 5: Solve for x
    x = 687,586,060.82/31,914
  6. Step 6: Final answer
    x = 21,544.97

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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.