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Finding the Fourth Proportional to 39,742.26, 54,897.42 and 27,844.98

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Solution

The fourth proportional to 39,742.26, 54,897.42 and 27,844.98 is: 38,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,742.26 : 54,897.42 = 27,844.98 : x
  2. Step 2: Convert to fraction form
    39,742.26/54,897.42 = 27,844.98/x
  3. Step 3: Cross multiply
    39,742.26x = 54,897.42 × 27,844.98
  4. Step 4: Simplify right side
    39,742.26x = 1,528,617,561.95
  5. Step 5: Solve for x
    x = 1,528,617,561.95/39,742.26
  6. Step 6: Final answer
    x = 38,463.28

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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.