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Finding the Fourth Proportional to 68,086.32, 102,225.16 and 34,830.24

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Solution

The fourth proportional to 68,086.32, 102,225.16 and 34,830.24 is: 52,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,086.32 : 102,225.16 = 34,830.24 : x
  2. Step 2: Convert to fraction form
    68,086.32/102,225.16 = 34,830.24/x
  3. Step 3: Cross multiply
    68,086.32x = 102,225.16 × 34,830.24
  4. Step 4: Simplify right side
    68,086.32x = 3,560,526,856.84
  5. Step 5: Solve for x
    x = 3,560,526,856.84/68,086.32
  6. Step 6: Final answer
    x = 52,294.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.