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Finding the Fourth Proportional to 42,648.50, 58,851.28 and 27,541.80

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Solution

The fourth proportional to 42,648.50, 58,851.28 and 27,541.80 is: 38,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,648.50 : 58,851.28 = 27,541.80 : x
  2. Step 2: Convert to fraction form
    42,648.50/58,851.28 = 27,541.80/x
  3. Step 3: Cross multiply
    42,648.50x = 58,851.28 × 27,541.80
  4. Step 4: Simplify right side
    42,648.50x = 1,620,870,183.50
  5. Step 5: Solve for x
    x = 1,620,870,183.50/42,648.50
  6. Step 6: Final answer
    x = 38,005.33

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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.