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Finding the Fourth Proportional to 39,220.76, 54,124.39 and 22,457

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Solution

The fourth proportional to 39,220.76, 54,124.39 and 22,457 is: 30,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,220.76 : 54,124.39 = 22,457 : x
  2. Step 2: Convert to fraction form
    39,220.76/54,124.39 = 22,457/x
  3. Step 3: Cross multiply
    39,220.76x = 54,124.39 × 22,457
  4. Step 4: Simplify right side
    39,220.76x = 1,215,471,426.23
  5. Step 5: Solve for x
    x = 1,215,471,426.23/39,220.76
  6. Step 6: Final answer
    x = 30,990.51

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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.