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Finding the Fourth Proportional to 82,311.04, 123,466 and 23,146.32

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Solution

The fourth proportional to 82,311.04, 123,466 and 23,146.32 is: 34,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311.04 : 123,466 = 23,146.32 : x
  2. Step 2: Convert to fraction form
    82,311.04/123,466 = 23,146.32/x
  3. Step 3: Cross multiply
    82,311.04x = 123,466 × 23,146.32
  4. Step 4: Simplify right side
    82,311.04x = 2,857,783,545.12
  5. Step 5: Solve for x
    x = 2,857,783,545.12/82,311.04
  6. Step 6: Final answer
    x = 34,719.32

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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.