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Finding the Fourth Proportional to 42,833.39, 64,213.13 and 20,616.17

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Solution

The fourth proportional to 42,833.39, 64,213.13 and 20,616.17 is: 30,906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,833.39 : 64,213.13 = 20,616.17 : x
  2. Step 2: Convert to fraction form
    42,833.39/64,213.13 = 20,616.17/x
  3. Step 3: Cross multiply
    42,833.39x = 64,213.13 × 20,616.17
  4. Step 4: Simplify right side
    42,833.39x = 1,323,828,701.23
  5. Step 5: Solve for x
    x = 1,323,828,701.23/42,833.39
  6. Step 6: Final answer
    x = 30,906.47

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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.