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Finding the Fourth Proportional to 40,564.90, 55,976.76 and 22,414.84

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Solution

The fourth proportional to 40,564.90, 55,976.76 and 22,414.84 is: 30,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,564.90 : 55,976.76 = 22,414.84 : x
  2. Step 2: Convert to fraction form
    40,564.90/55,976.76 = 22,414.84/x
  3. Step 3: Cross multiply
    40,564.90x = 55,976.76 × 22,414.84
  4. Step 4: Simplify right side
    40,564.90x = 1,254,710,119.12
  5. Step 5: Solve for x
    x = 1,254,710,119.12/40,564.90
  6. Step 6: Final answer
    x = 30,930.93

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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.