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Finding the Fourth Proportional to 32,717.37, 49,067.09 and 9,019.32

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Solution

The fourth proportional to 32,717.37, 49,067.09 and 9,019.32 is: 13,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,717.37 : 49,067.09 = 9,019.32 : x
  2. Step 2: Convert to fraction form
    32,717.37/49,067.09 = 9,019.32/x
  3. Step 3: Cross multiply
    32,717.37x = 49,067.09 × 9,019.32
  4. Step 4: Simplify right side
    32,717.37x = 442,552,030.27
  5. Step 5: Solve for x
    x = 442,552,030.27/32,717.37
  6. Step 6: Final answer
    x = 13,526.52

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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.