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Finding the Fourth Proportional to 47,513.81, 71,287.02 and 17,940.10

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Solution

The fourth proportional to 47,513.81, 71,287.02 and 17,940.10 is: 26,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,513.81 : 71,287.02 = 17,940.10 : x
  2. Step 2: Convert to fraction form
    47,513.81/71,287.02 = 17,940.10/x
  3. Step 3: Cross multiply
    47,513.81x = 71,287.02 × 17,940.10
  4. Step 4: Simplify right side
    47,513.81x = 1,278,896,267.50
  5. Step 5: Solve for x
    x = 1,278,896,267.50/47,513.81
  6. Step 6: Final answer
    x = 26,916.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.