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Finding the Fourth Proportional to 48,806.16, 67,355.28 and 27,587.28

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Solution

The fourth proportional to 48,806.16, 67,355.28 and 27,587.28 is: 38,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,806.16 : 67,355.28 = 27,587.28 : x
  2. Step 2: Convert to fraction form
    48,806.16/67,355.28 = 27,587.28/x
  3. Step 3: Cross multiply
    48,806.16x = 67,355.28 × 27,587.28
  4. Step 4: Simplify right side
    48,806.16x = 1,858,148,968.84
  5. Step 5: Solve for x
    x = 1,858,148,968.84/48,806.16
  6. Step 6: Final answer
    x = 38,072.02

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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.