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Finding the Fourth Proportional to 57,295.96, 85,891.98 and 30,969.94

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Solution

The fourth proportional to 57,295.96, 85,891.98 and 30,969.94 is: 46,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295.96 : 85,891.98 = 30,969.94 : x
  2. Step 2: Convert to fraction form
    57,295.96/85,891.98 = 30,969.94/x
  3. Step 3: Cross multiply
    57,295.96x = 85,891.98 × 30,969.94
  4. Step 4: Simplify right side
    57,295.96x = 2,660,069,467.08
  5. Step 5: Solve for x
    x = 2,660,069,467.08/57,295.96
  6. Step 6: Final answer
    x = 46,426.82

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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.