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Finding the Fourth Proportional to 40,223.02, 55,507.78 and 22,318

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Solution

The fourth proportional to 40,223.02, 55,507.78 and 22,318 is: 30,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,223.02 : 55,507.78 = 22,318 : x
  2. Step 2: Convert to fraction form
    40,223.02/55,507.78 = 22,318/x
  3. Step 3: Cross multiply
    40,223.02x = 55,507.78 × 22,318
  4. Step 4: Simplify right side
    40,223.02x = 1,238,822,634.04
  5. Step 5: Solve for x
    x = 1,238,822,634.04/40,223.02
  6. Step 6: Final answer
    x = 30,798.85

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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.