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Finding the Fourth Proportional to 76,610.60, 114,907.80 and 24,017.30

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Solution

The fourth proportional to 76,610.60, 114,907.80 and 24,017.30 is: 36,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,610.60 : 114,907.80 = 24,017.30 : x
  2. Step 2: Convert to fraction form
    76,610.60/114,907.80 = 24,017.30/x
  3. Step 3: Cross multiply
    76,610.60x = 114,907.80 × 24,017.30
  4. Step 4: Simplify right side
    76,610.60x = 2,759,775,104.94
  5. Step 5: Solve for x
    x = 2,759,775,104.94/76,610.60
  6. Step 6: Final answer
    x = 36,023.41

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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.