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Finding the Fourth Proportional to 76,051.80, 113,978.07 and 36,530.28

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Solution

The fourth proportional to 76,051.80, 113,978.07 and 36,530.28 is: 54,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,051.80 : 113,978.07 = 36,530.28 : x
  2. Step 2: Convert to fraction form
    76,051.80/113,978.07 = 36,530.28/x
  3. Step 3: Cross multiply
    76,051.80x = 113,978.07 × 36,530.28
  4. Step 4: Simplify right side
    76,051.80x = 4,163,650,810.96
  5. Step 5: Solve for x
    x = 4,163,650,810.96/76,051.80
  6. Step 6: Final answer
    x = 54,747.56

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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.