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Finding the Fourth Proportional to 76,624.30, 114,936.45 and 53,296.30

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Solution

The fourth proportional to 76,624.30, 114,936.45 and 53,296.30 is: 79,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,624.30 : 114,936.45 = 53,296.30 : x
  2. Step 2: Convert to fraction form
    76,624.30/114,936.45 = 53,296.30/x
  3. Step 3: Cross multiply
    76,624.30x = 114,936.45 × 53,296.30
  4. Step 4: Simplify right side
    76,624.30x = 6,125,687,520.14
  5. Step 5: Solve for x
    x = 6,125,687,520.14/76,624.30
  6. Step 6: Final answer
    x = 79,944.45

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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.