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Finding the Fourth Proportional to 42,658.44, 58,887.52 and 27,558.46

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Solution

The fourth proportional to 42,658.44, 58,887.52 and 27,558.46 is: 38,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658.44 : 58,887.52 = 27,558.46 : x
  2. Step 2: Convert to fraction form
    42,658.44/58,887.52 = 27,558.46/x
  3. Step 3: Cross multiply
    42,658.44x = 58,887.52 × 27,558.46
  4. Step 4: Simplify right side
    42,658.44x = 1,622,849,364.42
  5. Step 5: Solve for x
    x = 1,622,849,364.42/42,658.44
  6. Step 6: Final answer
    x = 38,042.87

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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.