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Finding the Fourth Proportional to 38,193.23, 52,713 and 22,277.68

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Solution

The fourth proportional to 38,193.23, 52,713 and 22,277.68 is: 30,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.23 : 52,713 = 22,277.68 : x
  2. Step 2: Convert to fraction form
    38,193.23/52,713 = 22,277.68/x
  3. Step 3: Cross multiply
    38,193.23x = 52,713 × 22,277.68
  4. Step 4: Simplify right side
    38,193.23x = 1,174,323,214.06
  5. Step 5: Solve for x
    x = 1,174,323,214.06/38,193.23
  6. Step 6: Final answer
    x = 30,746.89

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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.