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Finding the Fourth Proportional to 57,468.76, 86,185.56 and 46,197.34

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Solution

The fourth proportional to 57,468.76, 86,185.56 and 46,197.34 is: 69,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468.76 : 86,185.56 = 46,197.34 : x
  2. Step 2: Convert to fraction form
    57,468.76/86,185.56 = 46,197.34/x
  3. Step 3: Cross multiply
    57,468.76x = 86,185.56 × 46,197.34
  4. Step 4: Simplify right side
    57,468.76x = 3,981,543,618.41
  5. Step 5: Solve for x
    x = 3,981,543,618.41/57,468.76
  6. Step 6: Final answer
    x = 69,281.88

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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.