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Finding the Fourth Proportional to 76,475.70, 114,729.96 and 32,076.86

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Solution

The fourth proportional to 76,475.70, 114,729.96 and 32,076.86 is: 48,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,475.70 : 114,729.96 = 32,076.86 : x
  2. Step 2: Convert to fraction form
    76,475.70/114,729.96 = 32,076.86/x
  3. Step 3: Cross multiply
    76,475.70x = 114,729.96 × 32,076.86
  4. Step 4: Simplify right side
    76,475.70x = 3,680,176,784.53
  5. Step 5: Solve for x
    x = 3,680,176,784.53/76,475.70
  6. Step 6: Final answer
    x = 48,122.18

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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.