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Finding the Fourth Proportional to 48,899.81, 67,483.35 and 27,678.62

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Solution

The fourth proportional to 48,899.81, 67,483.35 and 27,678.62 is: 38,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,899.81 : 67,483.35 = 27,678.62 : x
  2. Step 2: Convert to fraction form
    48,899.81/67,483.35 = 27,678.62/x
  3. Step 3: Cross multiply
    48,899.81x = 67,483.35 × 27,678.62
  4. Step 4: Simplify right side
    48,899.81x = 1,867,845,862.58
  5. Step 5: Solve for x
    x = 1,867,845,862.58/48,899.81
  6. Step 6: Final answer
    x = 38,197.41

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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.