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Finding the Fourth Proportional to 76,990.16, 106,319.80 and 72,797.04

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Solution

The fourth proportional to 76,990.16, 106,319.80 and 72,797.04 is: 100,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,990.16 : 106,319.80 = 72,797.04 : x
  2. Step 2: Convert to fraction form
    76,990.16/106,319.80 = 72,797.04/x
  3. Step 3: Cross multiply
    76,990.16x = 106,319.80 × 72,797.04
  4. Step 4: Simplify right side
    76,990.16x = 7,739,766,733.39
  5. Step 5: Solve for x
    x = 7,739,766,733.39/76,990.16
  6. Step 6: Final answer
    x = 100,529.30

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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.