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Finding the Fourth Proportional to 76,493.06, 114,642.24 and 43,231.68

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Solution

The fourth proportional to 76,493.06, 114,642.24 and 43,231.68 is: 64,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493.06 : 114,642.24 = 43,231.68 : x
  2. Step 2: Convert to fraction form
    76,493.06/114,642.24 = 43,231.68/x
  3. Step 3: Cross multiply
    76,493.06x = 114,642.24 × 43,231.68
  4. Step 4: Simplify right side
    76,493.06x = 4,956,176,634.16
  5. Step 5: Solve for x
    x = 4,956,176,634.16/76,493.06
  6. Step 6: Final answer
    x = 64,792.50

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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.