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Finding the Fourth Proportional to 38,262.96, 57,398.82 and 10,184.22

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Solution

The fourth proportional to 38,262.96, 57,398.82 and 10,184.22 is: 15,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,262.96 : 57,398.82 = 10,184.22 : x
  2. Step 2: Convert to fraction form
    38,262.96/57,398.82 = 10,184.22/x
  3. Step 3: Cross multiply
    38,262.96x = 57,398.82 × 10,184.22
  4. Step 4: Simplify right side
    38,262.96x = 584,562,210.62
  5. Step 5: Solve for x
    x = 584,562,210.62/38,262.96
  6. Step 6: Final answer
    x = 15,277.50

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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.