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Finding the Fourth Proportional to 76,063.68, 114,048 and 29,260.80

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Solution

The fourth proportional to 76,063.68, 114,048 and 29,260.80 is: 43,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,063.68 : 114,048 = 29,260.80 : x
  2. Step 2: Convert to fraction form
    76,063.68/114,048 = 29,260.80/x
  3. Step 3: Cross multiply
    76,063.68x = 114,048 × 29,260.80
  4. Step 4: Simplify right side
    76,063.68x = 3,337,135,718.40
  5. Step 5: Solve for x
    x = 3,337,135,718.40/76,063.68
  6. Step 6: Final answer
    x = 43,872.92

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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.