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Finding the Fourth Proportional to 32,682.61, 49,022.61 and 9,308.98

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Solution

The fourth proportional to 32,682.61, 49,022.61 and 9,308.98 is: 13,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.61 : 49,022.61 = 9,308.98 : x
  2. Step 2: Convert to fraction form
    32,682.61/49,022.61 = 9,308.98/x
  3. Step 3: Cross multiply
    32,682.61x = 49,022.61 × 9,308.98
  4. Step 4: Simplify right side
    32,682.61x = 456,350,496.04
  5. Step 5: Solve for x
    x = 456,350,496.04/32,682.61
  6. Step 6: Final answer
    x = 13,963.10

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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.