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Finding the Fourth Proportional to 27,871.50, 41,807.26 and 9,403.50

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Solution

The fourth proportional to 27,871.50, 41,807.26 and 9,403.50 is: 14,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.50 : 41,807.26 = 9,403.50 : x
  2. Step 2: Convert to fraction form
    27,871.50/41,807.26 = 9,403.50/x
  3. Step 3: Cross multiply
    27,871.50x = 41,807.26 × 9,403.50
  4. Step 4: Simplify right side
    27,871.50x = 393,134,569.41
  5. Step 5: Solve for x
    x = 393,134,569.41/27,871.50
  6. Step 6: Final answer
    x = 14,105.25

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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.