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Finding the Fourth Proportional to 47,770.20, 65,923.20 and 26,549.82

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Solution

The fourth proportional to 47,770.20, 65,923.20 and 26,549.82 is: 36,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,770.20 : 65,923.20 = 26,549.82 : x
  2. Step 2: Convert to fraction form
    47,770.20/65,923.20 = 26,549.82/x
  3. Step 3: Cross multiply
    47,770.20x = 65,923.20 × 26,549.82
  4. Step 4: Simplify right side
    47,770.20x = 1,750,249,093.82
  5. Step 5: Solve for x
    x = 1,750,249,093.82/47,770.20
  6. Step 6: Final answer
    x = 36,638.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.