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Finding the Fourth Proportional to 41,509.40, 62,282.39 and 21,783.20

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Solution

The fourth proportional to 41,509.40, 62,282.39 and 21,783.20 is: 32,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.40 : 62,282.39 = 21,783.20 : x
  2. Step 2: Convert to fraction form
    41,509.40/62,282.39 = 21,783.20/x
  3. Step 3: Cross multiply
    41,509.40x = 62,282.39 × 21,783.20
  4. Step 4: Simplify right side
    41,509.40x = 1,356,709,337.52
  5. Step 5: Solve for x
    x = 1,356,709,337.52/41,509.40
  6. Step 6: Final answer
    x = 32,684.39

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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.