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Finding the Fourth Proportional to 31,785.76, 47,686.50 and 22,444.08

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Solution

The fourth proportional to 31,785.76, 47,686.50 and 22,444.08 is: 33,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.76 : 47,686.50 = 22,444.08 : x
  2. Step 2: Convert to fraction form
    31,785.76/47,686.50 = 22,444.08/x
  3. Step 3: Cross multiply
    31,785.76x = 47,686.50 × 22,444.08
  4. Step 4: Simplify right side
    31,785.76x = 1,070,279,620.92
  5. Step 5: Solve for x
    x = 1,070,279,620.92/31,785.76
  6. Step 6: Final answer
    x = 33,671.67

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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.