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Finding the Fourth Proportional to 30,229.28, 45,302.52 and 22,827.68

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Solution

The fourth proportional to 30,229.28, 45,302.52 and 22,827.68 is: 34,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.28 : 45,302.52 = 22,827.68 : x
  2. Step 2: Convert to fraction form
    30,229.28/45,302.52 = 22,827.68/x
  3. Step 3: Cross multiply
    30,229.28x = 45,302.52 × 22,827.68
  4. Step 4: Simplify right side
    30,229.28x = 1,034,151,429.75
  5. Step 5: Solve for x
    x = 1,034,151,429.75/30,229.28
  6. Step 6: Final answer
    x = 34,210.26

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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.