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Finding the Fourth Proportional to 92,129.84, 138,107.27 and 36,005.95

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Solution

The fourth proportional to 92,129.84, 138,107.27 and 36,005.95 is: 53,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,129.84 : 138,107.27 = 36,005.95 : x
  2. Step 2: Convert to fraction form
    92,129.84/138,107.27 = 36,005.95/x
  3. Step 3: Cross multiply
    92,129.84x = 138,107.27 × 36,005.95
  4. Step 4: Simplify right side
    92,129.84x = 4,972,683,203.00
  5. Step 5: Solve for x
    x = 4,972,683,203.00/92,129.84
  6. Step 6: Final answer
    x = 53,974.73

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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.