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Finding the Fourth Proportional to 49,509.28, 74,262.69 and 14,449.24

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Solution

The fourth proportional to 49,509.28, 74,262.69 and 14,449.24 is: 21,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.28 : 74,262.69 = 14,449.24 : x
  2. Step 2: Convert to fraction form
    49,509.28/74,262.69 = 14,449.24/x
  3. Step 3: Cross multiply
    49,509.28x = 74,262.69 × 14,449.24
  4. Step 4: Simplify right side
    49,509.28x = 1,073,039,430.86
  5. Step 5: Solve for x
    x = 1,073,039,430.86/49,509.28
  6. Step 6: Final answer
    x = 21,673.50

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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.