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Finding the Fourth Proportional to 57,085.96, 78,777.38 and 31,244.39

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Solution

The fourth proportional to 57,085.96, 78,777.38 and 31,244.39 is: 43,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,085.96 : 78,777.38 = 31,244.39 : x
  2. Step 2: Convert to fraction form
    57,085.96/78,777.38 = 31,244.39/x
  3. Step 3: Cross multiply
    57,085.96x = 78,777.38 × 31,244.39
  4. Step 4: Simplify right side
    57,085.96x = 2,461,350,633.79
  5. Step 5: Solve for x
    x = 2,461,350,633.79/57,085.96
  6. Step 6: Final answer
    x = 43,116.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.