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Finding the Fourth Proportional to 32,470.20, 44,809.47 and 18,320.31

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Solution

The fourth proportional to 32,470.20, 44,809.47 and 18,320.31 is: 25,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.20 : 44,809.47 = 18,320.31 : x
  2. Step 2: Convert to fraction form
    32,470.20/44,809.47 = 18,320.31/x
  3. Step 3: Cross multiply
    32,470.20x = 44,809.47 × 18,320.31
  4. Step 4: Simplify right side
    32,470.20x = 820,923,381.34
  5. Step 5: Solve for x
    x = 820,923,381.34/32,470.20
  6. Step 6: Final answer
    x = 25,282.36

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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.