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Finding the Fourth Proportional to 83,058.40, 114,631.55 and 47,241.49

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Solution

The fourth proportional to 83,058.40, 114,631.55 and 47,241.49 is: 65,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,058.40 : 114,631.55 = 47,241.49 : x
  2. Step 2: Convert to fraction form
    83,058.40/114,631.55 = 47,241.49/x
  3. Step 3: Cross multiply
    83,058.40x = 114,631.55 × 47,241.49
  4. Step 4: Simplify right side
    83,058.40x = 5,415,365,223.01
  5. Step 5: Solve for x
    x = 5,415,365,223.01/83,058.40
  6. Step 6: Final answer
    x = 65,199.49

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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.