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Finding the Fourth Proportional to 76,252.32, 114,376.32 and 29,515.68

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Solution

The fourth proportional to 76,252.32, 114,376.32 and 29,515.68 is: 44,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,252.32 : 114,376.32 = 29,515.68 : x
  2. Step 2: Convert to fraction form
    76,252.32/114,376.32 = 29,515.68/x
  3. Step 3: Cross multiply
    76,252.32x = 114,376.32 × 29,515.68
  4. Step 4: Simplify right side
    76,252.32x = 3,375,894,860.70
  5. Step 5: Solve for x
    x = 3,375,894,860.70/76,252.32
  6. Step 6: Final answer
    x = 44,272.68

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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.