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Finding the Fourth Proportional to 48,223.84, 72,323.76 and 13,163.68

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Solution

The fourth proportional to 48,223.84, 72,323.76 and 13,163.68 is: 19,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,223.84 : 72,323.76 = 13,163.68 : x
  2. Step 2: Convert to fraction form
    48,223.84/72,323.76 = 13,163.68/x
  3. Step 3: Cross multiply
    48,223.84x = 72,323.76 × 13,163.68
  4. Step 4: Simplify right side
    48,223.84x = 952,046,833.04
  5. Step 5: Solve for x
    x = 952,046,833.04/48,223.84
  6. Step 6: Final answer
    x = 19,742.24

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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.