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Finding the Fourth Proportional to 30,659.92, 42,255.57 and 22,688.30

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Solution

The fourth proportional to 30,659.92, 42,255.57 and 22,688.30 is: 31,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.92 : 42,255.57 = 22,688.30 : x
  2. Step 2: Convert to fraction form
    30,659.92/42,255.57 = 22,688.30/x
  3. Step 3: Cross multiply
    30,659.92x = 42,255.57 × 22,688.30
  4. Step 4: Simplify right side
    30,659.92x = 958,707,239.55
  5. Step 5: Solve for x
    x = 958,707,239.55/30,659.92
  6. Step 6: Final answer
    x = 31,269.07

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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.