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Finding the Fourth Proportional to 31,920.41, 47,864.59 and 18,597.80

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Solution

The fourth proportional to 31,920.41, 47,864.59 and 18,597.80 is: 27,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.41 : 47,864.59 = 18,597.80 : x
  2. Step 2: Convert to fraction form
    31,920.41/47,864.59 = 18,597.80/x
  3. Step 3: Cross multiply
    31,920.41x = 47,864.59 × 18,597.80
  4. Step 4: Simplify right side
    31,920.41x = 890,176,145.07
  5. Step 5: Solve for x
    x = 890,176,145.07/31,920.41
  6. Step 6: Final answer
    x = 27,887.36

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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.