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Finding the Fourth Proportional to 73,647.04, 101,600.58 and 49,765

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Solution

The fourth proportional to 73,647.04, 101,600.58 and 49,765 is: 68,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,647.04 : 101,600.58 = 49,765 : x
  2. Step 2: Convert to fraction form
    73,647.04/101,600.58 = 49,765/x
  3. Step 3: Cross multiply
    73,647.04x = 101,600.58 × 49,765
  4. Step 4: Simplify right side
    73,647.04x = 5,056,152,863.70
  5. Step 5: Solve for x
    x = 5,056,152,863.70/73,647.04
  6. Step 6: Final answer
    x = 68,653.85

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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.