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Finding the Fourth Proportional to 57,230.64, 85,828.50 and 39,574.80

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Solution

The fourth proportional to 57,230.64, 85,828.50 and 39,574.80 is: 59,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.64 : 85,828.50 = 39,574.80 : x
  2. Step 2: Convert to fraction form
    57,230.64/85,828.50 = 39,574.80/x
  3. Step 3: Cross multiply
    57,230.64x = 85,828.50 × 39,574.80
  4. Step 4: Simplify right side
    57,230.64x = 3,396,645,721.80
  5. Step 5: Solve for x
    x = 3,396,645,721.80/57,230.64
  6. Step 6: Final answer
    x = 59,350.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.