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Finding the Fourth Proportional to 57,713.16, 86,569.80 and 31,469.16

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Solution

The fourth proportional to 57,713.16, 86,569.80 and 31,469.16 is: 47,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,713.16 : 86,569.80 = 31,469.16 : x
  2. Step 2: Convert to fraction form
    57,713.16/86,569.80 = 31,469.16/x
  3. Step 3: Cross multiply
    57,713.16x = 86,569.80 × 31,469.16
  4. Step 4: Simplify right side
    57,713.16x = 2,724,278,887.37
  5. Step 5: Solve for x
    x = 2,724,278,887.37/57,713.16
  6. Step 6: Final answer
    x = 47,203.77

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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.