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Finding the Fourth Proportional to 51,007.67, 76,524.50 and 29,965.55

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Solution

The fourth proportional to 51,007.67, 76,524.50 and 29,965.55 is: 44,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,007.67 : 76,524.50 = 29,965.55 : x
  2. Step 2: Convert to fraction form
    51,007.67/76,524.50 = 29,965.55/x
  3. Step 3: Cross multiply
    51,007.67x = 76,524.50 × 29,965.55
  4. Step 4: Simplify right side
    51,007.67x = 2,293,098,254.71
  5. Step 5: Solve for x
    x = 2,293,098,254.71/51,007.67
  6. Step 6: Final answer
    x = 44,955.95

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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.