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Finding the Fourth Proportional to 31,249.79, 46,879.56 and 10,184.93

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Solution

The fourth proportional to 31,249.79, 46,879.56 and 10,184.93 is: 15,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249.79 : 46,879.56 = 10,184.93 : x
  2. Step 2: Convert to fraction form
    31,249.79/46,879.56 = 10,184.93/x
  3. Step 3: Cross multiply
    31,249.79x = 46,879.56 × 10,184.93
  4. Step 4: Simplify right side
    31,249.79x = 477,465,037.03
  5. Step 5: Solve for x
    x = 477,465,037.03/31,249.79
  6. Step 6: Final answer
    x = 15,278.98

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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.