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Finding the Fourth Proportional to 42,195.48, 58,204.32 and 27,855.42

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Solution

The fourth proportional to 42,195.48, 58,204.32 and 27,855.42 is: 38,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,195.48 : 58,204.32 = 27,855.42 : x
  2. Step 2: Convert to fraction form
    42,195.48/58,204.32 = 27,855.42/x
  3. Step 3: Cross multiply
    42,195.48x = 58,204.32 × 27,855.42
  4. Step 4: Simplify right side
    42,195.48x = 1,621,305,779.41
  5. Step 5: Solve for x
    x = 1,621,305,779.41/42,195.48
  6. Step 6: Final answer
    x = 38,423.68

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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.