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Finding the Fourth Proportional to 48,801.67, 67,347.57 and 27,582.28

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Solution

The fourth proportional to 48,801.67, 67,347.57 and 27,582.28 is: 38,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,801.67 : 67,347.57 = 27,582.28 : x
  2. Step 2: Convert to fraction form
    48,801.67/67,347.57 = 27,582.28/x
  3. Step 3: Cross multiply
    48,801.67x = 67,347.57 × 27,582.28
  4. Step 4: Simplify right side
    48,801.67x = 1,857,599,533.06
  5. Step 5: Solve for x
    x = 1,857,599,533.06/48,801.67
  6. Step 6: Final answer
    x = 38,064.26

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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.