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Finding the Fourth Proportional to 76,566.80, 114,803.16 and 29,765.12

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Solution

The fourth proportional to 76,566.80, 114,803.16 and 29,765.12 is: 44,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566.80 : 114,803.16 = 29,765.12 : x
  2. Step 2: Convert to fraction form
    76,566.80/114,803.16 = 29,765.12/x
  3. Step 3: Cross multiply
    76,566.80x = 114,803.16 × 29,765.12
  4. Step 4: Simplify right side
    76,566.80x = 3,417,129,833.78
  5. Step 5: Solve for x
    x = 3,417,129,833.78/76,566.80
  6. Step 6: Final answer
    x = 44,629.39

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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.