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Finding the Fourth Proportional to 76,586, 114,872.36 and 26,653.20

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Solution

The fourth proportional to 76,586, 114,872.36 and 26,653.20 is: 39,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,586 : 114,872.36 = 26,653.20 : x
  2. Step 2: Convert to fraction form
    76,586/114,872.36 = 26,653.20/x
  3. Step 3: Cross multiply
    76,586x = 114,872.36 × 26,653.20
  4. Step 4: Simplify right side
    76,586x = 3,061,715,985.55
  5. Step 5: Solve for x
    x = 3,061,715,985.55/76,586
  6. Step 6: Final answer
    x = 39,977.49

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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.