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Finding the Fourth Proportional to 38,441.80, 57,662.70 and 31,443.40

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Solution

The fourth proportional to 38,441.80, 57,662.70 and 31,443.40 is: 47,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.80 : 57,662.70 = 31,443.40 : x
  2. Step 2: Convert to fraction form
    38,441.80/57,662.70 = 31,443.40/x
  3. Step 3: Cross multiply
    38,441.80x = 57,662.70 × 31,443.40
  4. Step 4: Simplify right side
    38,441.80x = 1,813,111,341.18
  5. Step 5: Solve for x
    x = 1,813,111,341.18/38,441.80
  6. Step 6: Final answer
    x = 47,165.10

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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.