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Finding the Fourth Proportional to 82,861.32, 114,344.69 and 47,046.63

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Solution

The fourth proportional to 82,861.32, 114,344.69 and 47,046.63 is: 64,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,861.32 : 114,344.69 = 47,046.63 : x
  2. Step 2: Convert to fraction form
    82,861.32/114,344.69 = 47,046.63/x
  3. Step 3: Cross multiply
    82,861.32x = 114,344.69 × 47,046.63
  4. Step 4: Simplify right side
    82,861.32x = 5,379,532,087.66
  5. Step 5: Solve for x
    x = 5,379,532,087.66/82,861.32
  6. Step 6: Final answer
    x = 64,922.11

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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.