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Finding the Fourth Proportional to 57,719.70, 86,458.32 and 36,648.95

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Solution

The fourth proportional to 57,719.70, 86,458.32 and 36,648.95 is: 54,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,719.70 : 86,458.32 = 36,648.95 : x
  2. Step 2: Convert to fraction form
    57,719.70/86,458.32 = 36,648.95/x
  3. Step 3: Cross multiply
    57,719.70x = 86,458.32 × 36,648.95
  4. Step 4: Simplify right side
    57,719.70x = 3,168,606,214.47
  5. Step 5: Solve for x
    x = 3,168,606,214.47/57,719.70
  6. Step 6: Final answer
    x = 54,896.44

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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.