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Finding the Fourth Proportional to 76,362.47, 114,546.80 and 36,360.88

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Solution

The fourth proportional to 76,362.47, 114,546.80 and 36,360.88 is: 54,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.47 : 114,546.80 = 36,360.88 : x
  2. Step 2: Convert to fraction form
    76,362.47/114,546.80 = 36,360.88/x
  3. Step 3: Cross multiply
    76,362.47x = 114,546.80 × 36,360.88
  4. Step 4: Simplify right side
    76,362.47x = 4,165,021,981.01
  5. Step 5: Solve for x
    x = 4,165,021,981.01/76,362.47
  6. Step 6: Final answer
    x = 54,542.79

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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.