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Finding the Fourth Proportional to 92,584.82, 138,848.58 and 33,413

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Solution

The fourth proportional to 92,584.82, 138,848.58 and 33,413 is: 50,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,584.82 : 138,848.58 = 33,413 : x
  2. Step 2: Convert to fraction form
    92,584.82/138,848.58 = 33,413/x
  3. Step 3: Cross multiply
    92,584.82x = 138,848.58 × 33,413
  4. Step 4: Simplify right side
    92,584.82x = 4,639,347,603.54
  5. Step 5: Solve for x
    x = 4,639,347,603.54/92,584.82
  6. Step 6: Final answer
    x = 50,109.16

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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.