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Finding the Fourth Proportional to 32,894.15, 49,346.09 and 9,517.55

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Solution

The fourth proportional to 32,894.15, 49,346.09 and 9,517.55 is: 14,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.15 : 49,346.09 = 9,517.55 : x
  2. Step 2: Convert to fraction form
    32,894.15/49,346.09 = 9,517.55/x
  3. Step 3: Cross multiply
    32,894.15x = 49,346.09 × 9,517.55
  4. Step 4: Simplify right side
    32,894.15x = 469,653,871.06
  5. Step 5: Solve for x
    x = 469,653,871.06/32,894.15
  6. Step 6: Final answer
    x = 14,277.73

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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.