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Finding the Fourth Proportional to 52,671.60, 72,672.15 and 31,443.12

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Solution

The fourth proportional to 52,671.60, 72,672.15 and 31,443.12 is: 43,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,671.60 : 72,672.15 = 31,443.12 : x
  2. Step 2: Convert to fraction form
    52,671.60/72,672.15 = 31,443.12/x
  3. Step 3: Cross multiply
    52,671.60x = 72,672.15 × 31,443.12
  4. Step 4: Simplify right side
    52,671.60x = 2,285,039,133.11
  5. Step 5: Solve for x
    x = 2,285,039,133.11/52,671.60
  6. Step 6: Final answer
    x = 43,382.76

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Why These Related Problems?

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