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Finding the Fourth Proportional to 31,376.88, 47,081.34 and 20,854.08

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Solution

The fourth proportional to 31,376.88, 47,081.34 and 20,854.08 is: 31,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376.88 : 47,081.34 = 20,854.08 : x
  2. Step 2: Convert to fraction form
    31,376.88/47,081.34 = 20,854.08/x
  3. Step 3: Cross multiply
    31,376.88x = 47,081.34 × 20,854.08
  4. Step 4: Simplify right side
    31,376.88x = 981,838,030.87
  5. Step 5: Solve for x
    x = 981,838,030.87/31,376.88
  6. Step 6: Final answer
    x = 31,291.77

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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.