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Finding the Fourth Proportional to 30,471.38, 45,712.80 and 13,832.58

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Solution

The fourth proportional to 30,471.38, 45,712.80 and 13,832.58 is: 20,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.38 : 45,712.80 = 13,832.58 : x
  2. Step 2: Convert to fraction form
    30,471.38/45,712.80 = 13,832.58/x
  3. Step 3: Cross multiply
    30,471.38x = 45,712.80 × 13,832.58
  4. Step 4: Simplify right side
    30,471.38x = 632,325,963.02
  5. Step 5: Solve for x
    x = 632,325,963.02/30,471.38
  6. Step 6: Final answer
    x = 20,751.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.