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Finding the Fourth Proportional to 32,820.39, 45,277.97 and 21,470.09

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Solution

The fourth proportional to 32,820.39, 45,277.97 and 21,470.09 is: 29,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.39 : 45,277.97 = 21,470.09 : x
  2. Step 2: Convert to fraction form
    32,820.39/45,277.97 = 21,470.09/x
  3. Step 3: Cross multiply
    32,820.39x = 45,277.97 × 21,470.09
  4. Step 4: Simplify right side
    32,820.39x = 972,121,757.18
  5. Step 5: Solve for x
    x = 972,121,757.18/32,820.39
  6. Step 6: Final answer
    x = 29,619.45

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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.