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Finding the Fourth Proportional to 73,542.84, 110,237.46 and 36,051

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Solution

The fourth proportional to 73,542.84, 110,237.46 and 36,051 is: 54,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,542.84 : 110,237.46 = 36,051 : x
  2. Step 2: Convert to fraction form
    73,542.84/110,237.46 = 36,051/x
  3. Step 3: Cross multiply
    73,542.84x = 110,237.46 × 36,051
  4. Step 4: Simplify right side
    73,542.84x = 3,974,170,670.46
  5. Step 5: Solve for x
    x = 3,974,170,670.46/73,542.84
  6. Step 6: Final answer
    x = 54,038.85

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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.