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Finding the Fourth Proportional to 85,293, 117,704.34 and 47,566.44

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Solution

The fourth proportional to 85,293, 117,704.34 and 47,566.44 is: 65,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,293 : 117,704.34 = 47,566.44 : x
  2. Step 2: Convert to fraction form
    85,293/117,704.34 = 47,566.44/x
  3. Step 3: Cross multiply
    85,293x = 117,704.34 × 47,566.44
  4. Step 4: Simplify right side
    85,293x = 5,598,776,426.35
  5. Step 5: Solve for x
    x = 5,598,776,426.35/85,293
  6. Step 6: Final answer
    x = 65,641.69

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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.