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Finding the Fourth Proportional to 30,471.44, 45,712.86 and 13,832.63

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Solution

The fourth proportional to 30,471.44, 45,712.86 and 13,832.63 is: 20,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.44 : 45,712.86 = 13,832.63 : x
  2. Step 2: Convert to fraction form
    30,471.44/45,712.86 = 13,832.63/x
  3. Step 3: Cross multiply
    30,471.44x = 45,712.86 × 13,832.63
  4. Step 4: Simplify right side
    30,471.44x = 632,328,850.06
  5. Step 5: Solve for x
    x = 632,328,850.06/30,471.44
  6. Step 6: Final answer
    x = 20,751.53

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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.