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Finding the Fourth Proportional to 76,689.72, 115,046.19 and 24,094.26

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Solution

The fourth proportional to 76,689.72, 115,046.19 and 24,094.26 is: 36,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,689.72 : 115,046.19 = 24,094.26 : x
  2. Step 2: Convert to fraction form
    76,689.72/115,046.19 = 24,094.26/x
  3. Step 3: Cross multiply
    76,689.72x = 115,046.19 × 24,094.26
  4. Step 4: Simplify right side
    76,689.72x = 2,771,952,813.87
  5. Step 5: Solve for x
    x = 2,771,952,813.87/76,689.72
  6. Step 6: Final answer
    x = 36,145.04

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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.