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Finding the Fourth Proportional to 31,598.27, 47,356.41 and 12,856.49

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Solution

The fourth proportional to 31,598.27, 47,356.41 and 12,856.49 is: 19,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.27 : 47,356.41 = 12,856.49 : x
  2. Step 2: Convert to fraction form
    31,598.27/47,356.41 = 12,856.49/x
  3. Step 3: Cross multiply
    31,598.27x = 47,356.41 × 12,856.49
  4. Step 4: Simplify right side
    31,598.27x = 608,837,200.62
  5. Step 5: Solve for x
    x = 608,837,200.62/31,598.27
  6. Step 6: Final answer
    x = 19,268.06

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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.