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Finding the Fourth Proportional to 40,283.50, 55,590.42 and 22,378

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Solution

The fourth proportional to 40,283.50, 55,590.42 and 22,378 is: 30,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,283.50 : 55,590.42 = 22,378 : x
  2. Step 2: Convert to fraction form
    40,283.50/55,590.42 = 22,378/x
  3. Step 3: Cross multiply
    40,283.50x = 55,590.42 × 22,378
  4. Step 4: Simplify right side
    40,283.50x = 1,244,002,418.76
  5. Step 5: Solve for x
    x = 1,244,002,418.76/40,283.50
  6. Step 6: Final answer
    x = 30,881.19

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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.