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Finding the Fourth Proportional to 31,721.32, 47,549.58 and 10,927

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Solution

The fourth proportional to 31,721.32, 47,549.58 and 10,927 is: 16,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,721.32 : 47,549.58 = 10,927 : x
  2. Step 2: Convert to fraction form
    31,721.32/47,549.58 = 10,927/x
  3. Step 3: Cross multiply
    31,721.32x = 47,549.58 × 10,927
  4. Step 4: Simplify right side
    31,721.32x = 519,574,260.66
  5. Step 5: Solve for x
    x = 519,574,260.66/31,721.32
  6. Step 6: Final answer
    x = 16,379.34

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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.