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Finding the Fourth Proportional to 42,892.01, 59,194.32 and 27,592.22

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Solution

The fourth proportional to 42,892.01, 59,194.32 and 27,592.22 is: 38,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,892.01 : 59,194.32 = 27,592.22 : x
  2. Step 2: Convert to fraction form
    42,892.01/59,194.32 = 27,592.22/x
  3. Step 3: Cross multiply
    42,892.01x = 59,194.32 × 27,592.22
  4. Step 4: Simplify right side
    42,892.01x = 1,633,302,655.82
  5. Step 5: Solve for x
    x = 1,633,302,655.82/42,892.01
  6. Step 6: Final answer
    x = 38,079.42

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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.