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Finding the Fourth Proportional to 42,833.36, 64,213.10 and 20,662.32

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Solution

The fourth proportional to 42,833.36, 64,213.10 and 20,662.32 is: 30,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,833.36 : 64,213.10 = 20,662.32 : x
  2. Step 2: Convert to fraction form
    42,833.36/64,213.10 = 20,662.32/x
  3. Step 3: Cross multiply
    42,833.36x = 64,213.10 × 20,662.32
  4. Step 4: Simplify right side
    42,833.36x = 1,326,791,620.39
  5. Step 5: Solve for x
    x = 1,326,791,620.39/42,833.36
  6. Step 6: Final answer
    x = 30,975.66

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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.