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Finding the Fourth Proportional to 47,718, 65,853 and 27,577.44

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Solution

The fourth proportional to 47,718, 65,853 and 27,577.44 is: 38,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718 : 65,853 = 27,577.44 : x
  2. Step 2: Convert to fraction form
    47,718/65,853 = 27,577.44/x
  3. Step 3: Cross multiply
    47,718x = 65,853 × 27,577.44
  4. Step 4: Simplify right side
    47,718x = 1,816,057,156.32
  5. Step 5: Solve for x
    x = 1,816,057,156.32/47,718
  6. Step 6: Final answer
    x = 38,058.12

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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.