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Finding the Fourth Proportional to 50,043.60, 69,058.44 and 27,686.16

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Solution

The fourth proportional to 50,043.60, 69,058.44 and 27,686.16 is: 38,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,043.60 : 69,058.44 = 27,686.16 : x
  2. Step 2: Convert to fraction form
    50,043.60/69,058.44 = 27,686.16/x
  3. Step 3: Cross multiply
    50,043.60x = 69,058.44 × 27,686.16
  4. Step 4: Simplify right side
    50,043.60x = 1,911,963,019.19
  5. Step 5: Solve for x
    x = 1,911,963,019.19/50,043.60
  6. Step 6: Final answer
    x = 38,205.94

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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.