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Finding the Fourth Proportional to 31,093.39, 46,646.74 and 10,034.63

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Solution

The fourth proportional to 31,093.39, 46,646.74 and 10,034.63 is: 15,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.39 : 46,646.74 = 10,034.63 : x
  2. Step 2: Convert to fraction form
    31,093.39/46,646.74 = 10,034.63/x
  3. Step 3: Cross multiply
    31,093.39x = 46,646.74 × 10,034.63
  4. Step 4: Simplify right side
    31,093.39x = 468,082,936.78
  5. Step 5: Solve for x
    x = 468,082,936.78/31,093.39
  6. Step 6: Final answer
    x = 15,054.10

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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.