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Finding the Fourth Proportional to 57,475.82, 86,268 and 35,332.40

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Solution

The fourth proportional to 57,475.82, 86,268 and 35,332.40 is: 53,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,475.82 : 86,268 = 35,332.40 : x
  2. Step 2: Convert to fraction form
    57,475.82/86,268 = 35,332.40/x
  3. Step 3: Cross multiply
    57,475.82x = 86,268 × 35,332.40
  4. Step 4: Simplify right side
    57,475.82x = 3,048,055,483.20
  5. Step 5: Solve for x
    x = 3,048,055,483.20/57,475.82
  6. Step 6: Final answer
    x = 53,031.96

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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.