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Finding the Fourth Proportional to 40,165.48, 55,428.37 and 22,261.64

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Solution

The fourth proportional to 40,165.48, 55,428.37 and 22,261.64 is: 30,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,165.48 : 55,428.37 = 22,261.64 : x
  2. Step 2: Convert to fraction form
    40,165.48/55,428.37 = 22,261.64/x
  3. Step 3: Cross multiply
    40,165.48x = 55,428.37 × 22,261.64
  4. Step 4: Simplify right side
    40,165.48x = 1,233,926,543.38
  5. Step 5: Solve for x
    x = 1,233,926,543.38/40,165.48
  6. Step 6: Final answer
    x = 30,721.07

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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.