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Finding the Fourth Proportional to 38,572.17, 53,222.40 and 22,650.81

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Solution

The fourth proportional to 38,572.17, 53,222.40 and 22,650.81 is: 31,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,572.17 : 53,222.40 = 22,650.81 : x
  2. Step 2: Convert to fraction form
    38,572.17/53,222.40 = 22,650.81/x
  3. Step 3: Cross multiply
    38,572.17x = 53,222.40 × 22,650.81
  4. Step 4: Simplify right side
    38,572.17x = 1,205,530,470.14
  5. Step 5: Solve for x
    x = 1,205,530,470.14/38,572.17
  6. Step 6: Final answer
    x = 31,253.89

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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.