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Finding the Fourth Proportional to 76,527.84, 114,836.24 and 32,151.20

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Solution

The fourth proportional to 76,527.84, 114,836.24 and 32,151.20 is: 48,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,527.84 : 114,836.24 = 32,151.20 : x
  2. Step 2: Convert to fraction form
    76,527.84/114,836.24 = 32,151.20/x
  3. Step 3: Cross multiply
    76,527.84x = 114,836.24 × 32,151.20
  4. Step 4: Simplify right side
    76,527.84x = 3,692,122,919.49
  5. Step 5: Solve for x
    x = 3,692,122,919.49/76,527.84
  6. Step 6: Final answer
    x = 48,245.49

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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.