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Finding the Fourth Proportional to 31,093.43, 46,646.78 and 10,034.67

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Solution

The fourth proportional to 31,093.43, 46,646.78 and 10,034.67 is: 15,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.43 : 46,646.78 = 10,034.67 : x
  2. Step 2: Convert to fraction form
    31,093.43/46,646.78 = 10,034.67/x
  3. Step 3: Cross multiply
    31,093.43x = 46,646.78 × 10,034.67
  4. Step 4: Simplify right side
    31,093.43x = 468,085,043.86
  5. Step 5: Solve for x
    x = 468,085,043.86/31,093.43
  6. Step 6: Final answer
    x = 15,054.15

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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.