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Finding the Fourth Proportional to 32,812.88, 49,216.20 and 13,086.16

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Solution

The fourth proportional to 32,812.88, 49,216.20 and 13,086.16 is: 19,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,812.88 : 49,216.20 = 13,086.16 : x
  2. Step 2: Convert to fraction form
    32,812.88/49,216.20 = 13,086.16/x
  3. Step 3: Cross multiply
    32,812.88x = 49,216.20 × 13,086.16
  4. Step 4: Simplify right side
    32,812.88x = 644,051,067.79
  5. Step 5: Solve for x
    x = 644,051,067.79/32,812.88
  6. Step 6: Final answer
    x = 19,628.00

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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.