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Finding the Fourth Proportional to 71,142.91, 98,197.66 and 46,961.52

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Solution

The fourth proportional to 71,142.91, 98,197.66 and 46,961.52 is: 64,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142.91 : 98,197.66 = 46,961.52 : x
  2. Step 2: Convert to fraction form
    71,142.91/98,197.66 = 46,961.52/x
  3. Step 3: Cross multiply
    71,142.91x = 98,197.66 × 46,961.52
  4. Step 4: Simplify right side
    71,142.91x = 4,611,511,374.04
  5. Step 5: Solve for x
    x = 4,611,511,374.04/71,142.91
  6. Step 6: Final answer
    x = 64,820.39

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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.