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Finding the Fourth Proportional to 30,647.68, 45,971.04 and 17,471.92

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Solution

The fourth proportional to 30,647.68, 45,971.04 and 17,471.92 is: 26,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.68 : 45,971.04 = 17,471.92 : x
  2. Step 2: Convert to fraction form
    30,647.68/45,971.04 = 17,471.92/x
  3. Step 3: Cross multiply
    30,647.68x = 45,971.04 × 17,471.92
  4. Step 4: Simplify right side
    30,647.68x = 803,202,333.20
  5. Step 5: Solve for x
    x = 803,202,333.20/30,647.68
  6. Step 6: Final answer
    x = 26,207.61

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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.