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Finding the Fourth Proportional to 39,633.92, 59,446.02 and 23,003

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Solution

The fourth proportional to 39,633.92, 59,446.02 and 23,003 is: 34,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,633.92 : 59,446.02 = 23,003 : x
  2. Step 2: Convert to fraction form
    39,633.92/59,446.02 = 23,003/x
  3. Step 3: Cross multiply
    39,633.92x = 59,446.02 × 23,003
  4. Step 4: Simplify right side
    39,633.92x = 1,367,436,798.06
  5. Step 5: Solve for x
    x = 1,367,436,798.06/39,633.92
  6. Step 6: Final answer
    x = 34,501.68

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Double scale
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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.