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Finding the Fourth Proportional to 57,692, 79,614.96 and 31,196

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Solution

The fourth proportional to 57,692, 79,614.96 and 31,196 is: 43,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692 : 79,614.96 = 31,196 : x
  2. Step 2: Convert to fraction form
    57,692/79,614.96 = 31,196/x
  3. Step 3: Cross multiply
    57,692x = 79,614.96 × 31,196
  4. Step 4: Simplify right side
    57,692x = 2,483,668,292.16
  5. Step 5: Solve for x
    x = 2,483,668,292.16/57,692
  6. Step 6: Final answer
    x = 43,050.48

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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.