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Finding the Fourth Proportional to 51,772.50, 71,446.05 and 29,416.50

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Solution

The fourth proportional to 51,772.50, 71,446.05 and 29,416.50 is: 40,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772.50 : 71,446.05 = 29,416.50 : x
  2. Step 2: Convert to fraction form
    51,772.50/71,446.05 = 29,416.50/x
  3. Step 3: Cross multiply
    51,772.50x = 71,446.05 × 29,416.50
  4. Step 4: Simplify right side
    51,772.50x = 2,101,692,729.83
  5. Step 5: Solve for x
    x = 2,101,692,729.83/51,772.50
  6. Step 6: Final answer
    x = 40,594.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.