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Finding the Fourth Proportional to 57,640.71, 86,477.78 and 23,900.47

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Solution

The fourth proportional to 57,640.71, 86,477.78 and 23,900.47 is: 35,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,640.71 : 86,477.78 = 23,900.47 : x
  2. Step 2: Convert to fraction form
    57,640.71/86,477.78 = 23,900.47/x
  3. Step 3: Cross multiply
    57,640.71x = 86,477.78 × 23,900.47
  4. Step 4: Simplify right side
    57,640.71x = 2,066,859,295.67
  5. Step 5: Solve for x
    x = 2,066,859,295.67/57,640.71
  6. Step 6: Final answer
    x = 35,857.63

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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.