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Finding the Fourth Proportional to 32,738.51, 45,196.32 and 22,039.68

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Solution

The fourth proportional to 32,738.51, 45,196.32 and 22,039.68 is: 30,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738.51 : 45,196.32 = 22,039.68 : x
  2. Step 2: Convert to fraction form
    32,738.51/45,196.32 = 22,039.68/x
  3. Step 3: Cross multiply
    32,738.51x = 45,196.32 × 22,039.68
  4. Step 4: Simplify right side
    32,738.51x = 996,112,429.98
  5. Step 5: Solve for x
    x = 996,112,429.98/32,738.51
  6. Step 6: Final answer
    x = 30,426.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.