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Finding the Fourth Proportional to 49,237.76, 67,955.28 and 28,022.24

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Solution

The fourth proportional to 49,237.76, 67,955.28 and 28,022.24 is: 38,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,237.76 : 67,955.28 = 28,022.24 : x
  2. Step 2: Convert to fraction form
    49,237.76/67,955.28 = 28,022.24/x
  3. Step 3: Cross multiply
    49,237.76x = 67,955.28 × 28,022.24
  4. Step 4: Simplify right side
    49,237.76x = 1,904,259,165.43
  5. Step 5: Solve for x
    x = 1,904,259,165.43/49,237.76
  6. Step 6: Final answer
    x = 38,674.77

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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.