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Finding the Fourth Proportional to 47,534.45, 71,305.52 and 12,474

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Solution

The fourth proportional to 47,534.45, 71,305.52 and 12,474 is: 18,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,534.45 : 71,305.52 = 12,474 : x
  2. Step 2: Convert to fraction form
    47,534.45/71,305.52 = 12,474/x
  3. Step 3: Cross multiply
    47,534.45x = 71,305.52 × 12,474
  4. Step 4: Simplify right side
    47,534.45x = 889,464,994.11
  5. Step 5: Solve for x
    x = 889,464,994.11/47,534.45
  6. Step 6: Final answer
    x = 18,712.01

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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.