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Finding the Fourth Proportional to 84,233, 126,359.74 and 25,865

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Solution

The fourth proportional to 84,233, 126,359.74 and 25,865 is: 38,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,233 : 126,359.74 = 25,865 : x
  2. Step 2: Convert to fraction form
    84,233/126,359.74 = 25,865/x
  3. Step 3: Cross multiply
    84,233x = 126,359.74 × 25,865
  4. Step 4: Simplify right side
    84,233x = 3,268,294,675.10
  5. Step 5: Solve for x
    x = 3,268,294,675.10/84,233
  6. Step 6: Final answer
    x = 38,800.64

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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.