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Finding the Fourth Proportional to 49,055.76, 67,706.28 and 27,837

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Solution

The fourth proportional to 49,055.76, 67,706.28 and 27,837 is: 38,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,055.76 : 67,706.28 = 27,837 : x
  2. Step 2: Convert to fraction form
    49,055.76/67,706.28 = 27,837/x
  3. Step 3: Cross multiply
    49,055.76x = 67,706.28 × 27,837
  4. Step 4: Simplify right side
    49,055.76x = 1,884,739,716.36
  5. Step 5: Solve for x
    x = 1,884,739,716.36/49,055.76
  6. Step 6: Final answer
    x = 38,420.36

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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.