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Finding the Fourth Proportional to 32,934.66, 45,476.03 and 30,415.85

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Solution

The fourth proportional to 32,934.66, 45,476.03 and 30,415.85 is: 41,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,934.66 : 45,476.03 = 30,415.85 : x
  2. Step 2: Convert to fraction form
    32,934.66/45,476.03 = 30,415.85/x
  3. Step 3: Cross multiply
    32,934.66x = 45,476.03 × 30,415.85
  4. Step 4: Simplify right side
    32,934.66x = 1,383,191,993.39
  5. Step 5: Solve for x
    x = 1,383,191,993.39/32,934.66
  6. Step 6: Final answer
    x = 41,998.07

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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.