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Finding the Fourth Proportional to 57,444.48, 86,078.70 and 38,655

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Solution

The fourth proportional to 57,444.48, 86,078.70 and 38,655 is: 57,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,444.48 : 86,078.70 = 38,655 : x
  2. Step 2: Convert to fraction form
    57,444.48/86,078.70 = 38,655/x
  3. Step 3: Cross multiply
    57,444.48x = 86,078.70 × 38,655
  4. Step 4: Simplify right side
    57,444.48x = 3,327,372,148.50
  5. Step 5: Solve for x
    x = 3,327,372,148.50/57,444.48
  6. Step 6: Final answer
    x = 57,923.27

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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.