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Finding the Fourth Proportional to 57,744.51, 86,616.63 and 31,393.86

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Solution

The fourth proportional to 57,744.51, 86,616.63 and 31,393.86 is: 47,090.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,744.51 : 86,616.63 = 31,393.86 : x
  2. Step 2: Convert to fraction form
    57,744.51/86,616.63 = 31,393.86/x
  3. Step 3: Cross multiply
    57,744.51x = 86,616.63 × 31,393.86
  4. Step 4: Simplify right side
    57,744.51x = 2,719,230,355.89
  5. Step 5: Solve for x
    x = 2,719,230,355.89/57,744.51
  6. Step 6: Final answer
    x = 47,090.72

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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.