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Finding the Fourth Proportional to 57,955.38, 86,933.08 and 31,645.77

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Solution

The fourth proportional to 57,955.38, 86,933.08 and 31,645.77 is: 47,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,955.38 : 86,933.08 = 31,645.77 : x
  2. Step 2: Convert to fraction form
    57,955.38/86,933.08 = 31,645.77/x
  3. Step 3: Cross multiply
    57,955.38x = 86,933.08 × 31,645.77
  4. Step 4: Simplify right side
    57,955.38x = 2,751,064,314.18
  5. Step 5: Solve for x
    x = 2,751,064,314.18/57,955.38
  6. Step 6: Final answer
    x = 47,468.66

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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.