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Finding the Fourth Proportional to 52,037.32, 71,794.74 and 31,873.18

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Solution

The fourth proportional to 52,037.32, 71,794.74 and 31,873.18 is: 43,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,037.32 : 71,794.74 = 31,873.18 : x
  2. Step 2: Convert to fraction form
    52,037.32/71,794.74 = 31,873.18/x
  3. Step 3: Cross multiply
    52,037.32x = 71,794.74 × 31,873.18
  4. Step 4: Simplify right side
    52,037.32x = 2,288,326,671.07
  5. Step 5: Solve for x
    x = 2,288,326,671.07/52,037.32
  6. Step 6: Final answer
    x = 43,974.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.