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Finding the Fourth Proportional to 32,882.64, 49,331.34 and 9,510.90

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Solution

The fourth proportional to 32,882.64, 49,331.34 and 9,510.90 is: 14,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882.64 : 49,331.34 = 9,510.90 : x
  2. Step 2: Convert to fraction form
    32,882.64/49,331.34 = 9,510.90/x
  3. Step 3: Cross multiply
    32,882.64x = 49,331.34 × 9,510.90
  4. Step 4: Simplify right side
    32,882.64x = 469,185,441.61
  5. Step 5: Solve for x
    x = 469,185,441.61/32,882.64
  6. Step 6: Final answer
    x = 14,268.48

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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.