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Finding the Fourth Proportional to 47,770.16, 65,924.18 and 27,625.12

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Solution

The fourth proportional to 47,770.16, 65,924.18 and 27,625.12 is: 38,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,770.16 : 65,924.18 = 27,625.12 : x
  2. Step 2: Convert to fraction form
    47,770.16/65,924.18 = 27,625.12/x
  3. Step 3: Cross multiply
    47,770.16x = 65,924.18 × 27,625.12
  4. Step 4: Simplify right side
    47,770.16x = 1,821,163,383.40
  5. Step 5: Solve for x
    x = 1,821,163,383.40/47,770.16
  6. Step 6: Final answer
    x = 38,123.45

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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.