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Finding the Fourth Proportional to 31,139.78, 46,717.08 and 10,079.82

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Solution

The fourth proportional to 31,139.78, 46,717.08 and 10,079.82 is: 15,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,139.78 : 46,717.08 = 10,079.82 : x
  2. Step 2: Convert to fraction form
    31,139.78/46,717.08 = 10,079.82/x
  3. Step 3: Cross multiply
    31,139.78x = 46,717.08 × 10,079.82
  4. Step 4: Simplify right side
    31,139.78x = 470,899,970.31
  5. Step 5: Solve for x
    x = 470,899,970.31/31,139.78
  6. Step 6: Final answer
    x = 15,122.14

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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.