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Finding the Fourth Proportional to 49,108.40, 67,769.40 and 27,886.64

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Solution

The fourth proportional to 49,108.40, 67,769.40 and 27,886.64 is: 38,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,108.40 : 67,769.40 = 27,886.64 : x
  2. Step 2: Convert to fraction form
    49,108.40/67,769.40 = 27,886.64/x
  3. Step 3: Cross multiply
    49,108.40x = 67,769.40 × 27,886.64
  4. Step 4: Simplify right side
    49,108.40x = 1,889,860,860.82
  5. Step 5: Solve for x
    x = 1,889,860,860.82/49,108.40
  6. Step 6: Final answer
    x = 38,483.45

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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.