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Finding the Fourth Proportional to 92,187.48, 138,324.24 and 47,790

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Solution

The fourth proportional to 92,187.48, 138,324.24 and 47,790 is: 71,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,187.48 : 138,324.24 = 47,790 : x
  2. Step 2: Convert to fraction form
    92,187.48/138,324.24 = 47,790/x
  3. Step 3: Cross multiply
    92,187.48x = 138,324.24 × 47,790
  4. Step 4: Simplify right side
    92,187.48x = 6,610,515,429.60
  5. Step 5: Solve for x
    x = 6,610,515,429.60/92,187.48
  6. Step 6: Final answer
    x = 71,707.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.