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Finding the Fourth Proportional to 76,770.96, 115,134.57 and 48,648.57

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Solution

The fourth proportional to 76,770.96, 115,134.57 and 48,648.57 is: 72,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,770.96 : 115,134.57 = 48,648.57 : x
  2. Step 2: Convert to fraction form
    76,770.96/115,134.57 = 48,648.57/x
  3. Step 3: Cross multiply
    76,770.96x = 115,134.57 × 48,648.57
  4. Step 4: Simplify right side
    76,770.96x = 5,601,132,188.06
  5. Step 5: Solve for x
    x = 5,601,132,188.06/76,770.96
  6. Step 6: Final answer
    x = 72,959.00

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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.