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Finding the Fourth Proportional to 40,333.56, 55,655.06 and 22,425

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Solution

The fourth proportional to 40,333.56, 55,655.06 and 22,425 is: 30,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,333.56 : 55,655.06 = 22,425 : x
  2. Step 2: Convert to fraction form
    40,333.56/55,655.06 = 22,425/x
  3. Step 3: Cross multiply
    40,333.56x = 55,655.06 × 22,425
  4. Step 4: Simplify right side
    40,333.56x = 1,248,064,608.38
  5. Step 5: Solve for x
    x = 1,248,064,608.38/40,333.56
  6. Step 6: Final answer
    x = 30,943.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.