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Finding the Fourth Proportional to 34,228.20, 51,341.58 and 15,760.20

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Solution

The fourth proportional to 34,228.20, 51,341.58 and 15,760.20 is: 23,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228.20 : 51,341.58 = 15,760.20 : x
  2. Step 2: Convert to fraction form
    34,228.20/51,341.58 = 15,760.20/x
  3. Step 3: Cross multiply
    34,228.20x = 51,341.58 × 15,760.20
  4. Step 4: Simplify right side
    34,228.20x = 809,153,569.12
  5. Step 5: Solve for x
    x = 809,153,569.12/34,228.20
  6. Step 6: Final answer
    x = 23,639.97

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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.