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Finding the Fourth Proportional to 57,083.80, 85,625.70 and 15,530.80

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Solution

The fourth proportional to 57,083.80, 85,625.70 and 15,530.80 is: 23,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,083.80 : 85,625.70 = 15,530.80 : x
  2. Step 2: Convert to fraction form
    57,083.80/85,625.70 = 15,530.80/x
  3. Step 3: Cross multiply
    57,083.80x = 85,625.70 × 15,530.80
  4. Step 4: Simplify right side
    57,083.80x = 1,329,835,621.56
  5. Step 5: Solve for x
    x = 1,329,835,621.56/57,083.80
  6. Step 6: Final answer
    x = 23,296.20

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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.