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Finding the Fourth Proportional to 30,281.94, 45,229.10 and 27,428.18

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Solution

The fourth proportional to 30,281.94, 45,229.10 and 27,428.18 is: 40,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281.94 : 45,229.10 = 27,428.18 : x
  2. Step 2: Convert to fraction form
    30,281.94/45,229.10 = 27,428.18/x
  3. Step 3: Cross multiply
    30,281.94x = 45,229.10 × 27,428.18
  4. Step 4: Simplify right side
    30,281.94x = 1,240,551,532.75
  5. Step 5: Solve for x
    x = 1,240,551,532.75/30,281.94
  6. Step 6: Final answer
    x = 40,966.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.