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Finding the Fourth Proportional to 72,115.92, 99,522 and 40,288.32

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Solution

The fourth proportional to 72,115.92, 99,522 and 40,288.32 is: 55,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,115.92 : 99,522 = 40,288.32 : x
  2. Step 2: Convert to fraction form
    72,115.92/99,522 = 40,288.32/x
  3. Step 3: Cross multiply
    72,115.92x = 99,522 × 40,288.32
  4. Step 4: Simplify right side
    72,115.92x = 4,009,574,183.04
  5. Step 5: Solve for x
    x = 4,009,574,183.04/72,115.92
  6. Step 6: Final answer
    x = 55,599.02

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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.