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Finding the Fourth Proportional to 48,886.89, 73,331.78 and 13,822.89

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Solution

The fourth proportional to 48,886.89, 73,331.78 and 13,822.89 is: 20,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,886.89 : 73,331.78 = 13,822.89 : x
  2. Step 2: Convert to fraction form
    48,886.89/73,331.78 = 13,822.89/x
  3. Step 3: Cross multiply
    48,886.89x = 73,331.78 × 13,822.89
  4. Step 4: Simplify right side
    48,886.89x = 1,013,657,059.33
  5. Step 5: Solve for x
    x = 1,013,657,059.33/48,886.89
  6. Step 6: Final answer
    x = 20,734.74

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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.