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Finding the Fourth Proportional to 85,435.39, 117,906.30 and 47,709.64

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Solution

The fourth proportional to 85,435.39, 117,906.30 and 47,709.64 is: 65,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,435.39 : 117,906.30 = 47,709.64 : x
  2. Step 2: Convert to fraction form
    85,435.39/117,906.30 = 47,709.64/x
  3. Step 3: Cross multiply
    85,435.39x = 117,906.30 × 47,709.64
  4. Step 4: Simplify right side
    85,435.39x = 5,625,267,126.73
  5. Step 5: Solve for x
    x = 5,625,267,126.73/85,435.39
  6. Step 6: Final answer
    x = 65,842.35

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1.5x scale

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.