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Finding the Fourth Proportional to 32,684.94, 49,019.31 and 9,311.58

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Solution

The fourth proportional to 32,684.94, 49,019.31 and 9,311.58 is: 13,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.94 : 49,019.31 = 9,311.58 : x
  2. Step 2: Convert to fraction form
    32,684.94/49,019.31 = 9,311.58/x
  3. Step 3: Cross multiply
    32,684.94x = 49,019.31 × 9,311.58
  4. Step 4: Simplify right side
    32,684.94x = 456,447,226.61
  5. Step 5: Solve for x
    x = 456,447,226.61/32,684.94
  6. Step 6: Final answer
    x = 13,965.06

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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.