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Finding the Fourth Proportional to 35,906.81, 49,572.61 and 31,916.38

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Solution

The fourth proportional to 35,906.81, 49,572.61 and 31,916.38 is: 44,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906.81 : 49,572.61 = 31,916.38 : x
  2. Step 2: Convert to fraction form
    35,906.81/49,572.61 = 31,916.38/x
  3. Step 3: Cross multiply
    35,906.81x = 49,572.61 × 31,916.38
  4. Step 4: Simplify right side
    35,906.81x = 1,582,178,491.36
  5. Step 5: Solve for x
    x = 1,582,178,491.36/35,906.81
  6. Step 6: Final answer
    x = 44,063.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.