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Finding the Fourth Proportional to 34,790.77, 52,178.41 and 9,833.16

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Solution

The fourth proportional to 34,790.77, 52,178.41 and 9,833.16 is: 14,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,790.77 : 52,178.41 = 9,833.16 : x
  2. Step 2: Convert to fraction form
    34,790.77/52,178.41 = 9,833.16/x
  3. Step 3: Cross multiply
    34,790.77x = 52,178.41 × 9,833.16
  4. Step 4: Simplify right side
    34,790.77x = 513,078,654.08
  5. Step 5: Solve for x
    x = 513,078,654.08/34,790.77
  6. Step 6: Final answer
    x = 14,747.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.