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Finding the Fourth Proportional to 73,177.75, 109,808.14 and 28,835.64

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Solution

The fourth proportional to 73,177.75, 109,808.14 and 28,835.64 is: 43,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177.75 : 109,808.14 = 28,835.64 : x
  2. Step 2: Convert to fraction form
    73,177.75/109,808.14 = 28,835.64/x
  3. Step 3: Cross multiply
    73,177.75x = 109,808.14 × 28,835.64
  4. Step 4: Simplify right side
    73,177.75x = 3,166,387,994.11
  5. Step 5: Solve for x
    x = 3,166,387,994.11/73,177.75
  6. Step 6: Final answer
    x = 43,269.82

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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.