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Finding the Fourth Proportional to 31,625.53, 47,437.47 and 10,278.12

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Solution

The fourth proportional to 31,625.53, 47,437.47 and 10,278.12 is: 15,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,625.53 : 47,437.47 = 10,278.12 : x
  2. Step 2: Convert to fraction form
    31,625.53/47,437.47 = 10,278.12/x
  3. Step 3: Cross multiply
    31,625.53x = 47,437.47 × 10,278.12
  4. Step 4: Simplify right side
    31,625.53x = 487,568,047.41
  5. Step 5: Solve for x
    x = 487,568,047.41/31,625.53
  6. Step 6: Final answer
    x = 15,416.92

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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.