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Finding the Fourth Proportional to 57,847.74, 86,749.71 and 31,538.16

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Solution

The fourth proportional to 57,847.74, 86,749.71 and 31,538.16 is: 47,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,847.74 : 86,749.71 = 31,538.16 : x
  2. Step 2: Convert to fraction form
    57,847.74/86,749.71 = 31,538.16/x
  3. Step 3: Cross multiply
    57,847.74x = 86,749.71 × 31,538.16
  4. Step 4: Simplify right side
    57,847.74x = 2,735,926,233.93
  5. Step 5: Solve for x
    x = 2,735,926,233.93/57,847.74
  6. Step 6: Final answer
    x = 47,295.30

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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.