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Finding the Fourth Proportional to 65,948.10, 91,002.33 and 39,086.21

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Solution

The fourth proportional to 65,948.10, 91,002.33 and 39,086.21 is: 53,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,948.10 : 91,002.33 = 39,086.21 : x
  2. Step 2: Convert to fraction form
    65,948.10/91,002.33 = 39,086.21/x
  3. Step 3: Cross multiply
    65,948.10x = 91,002.33 × 39,086.21
  4. Step 4: Simplify right side
    65,948.10x = 3,556,935,725.86
  5. Step 5: Solve for x
    x = 3,556,935,725.86/65,948.10
  6. Step 6: Final answer
    x = 53,935.38

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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.