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Finding the Fourth Proportional to 47,142.05, 65,052.15 and 27,757.89

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Solution

The fourth proportional to 47,142.05, 65,052.15 and 27,757.89 is: 38,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142.05 : 65,052.15 = 27,757.89 : x
  2. Step 2: Convert to fraction form
    47,142.05/65,052.15 = 27,757.89/x
  3. Step 3: Cross multiply
    47,142.05x = 65,052.15 × 27,757.89
  4. Step 4: Simplify right side
    47,142.05x = 1,805,710,423.96
  5. Step 5: Solve for x
    x = 1,805,710,423.96/47,142.05
  6. Step 6: Final answer
    x = 38,303.61

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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.