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Finding the Fourth Proportional to 32,713.83, 45,099.74 and 22,086.63

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Solution

The fourth proportional to 32,713.83, 45,099.74 and 22,086.63 is: 30,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713.83 : 45,099.74 = 22,086.63 : x
  2. Step 2: Convert to fraction form
    32,713.83/45,099.74 = 22,086.63/x
  3. Step 3: Cross multiply
    32,713.83x = 45,099.74 × 22,086.63
  4. Step 4: Simplify right side
    32,713.83x = 996,101,160.04
  5. Step 5: Solve for x
    x = 996,101,160.04/32,713.83
  6. Step 6: Final answer
    x = 30,448.93

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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.