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Finding the Fourth Proportional to 35,697, 49,261.86 and 20,793

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Solution

The fourth proportional to 35,697, 49,261.86 and 20,793 is: 28,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697 : 49,261.86 = 20,793 : x
  2. Step 2: Convert to fraction form
    35,697/49,261.86 = 20,793/x
  3. Step 3: Cross multiply
    35,697x = 49,261.86 × 20,793
  4. Step 4: Simplify right side
    35,697x = 1,024,301,854.98
  5. Step 5: Solve for x
    x = 1,024,301,854.98/35,697
  6. Step 6: Final answer
    x = 28,694.34

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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.