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Finding the Fourth Proportional to 76,092.30, 114,154.01 and 26,165.91

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Solution

The fourth proportional to 76,092.30, 114,154.01 and 26,165.91 is: 39,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,092.30 : 114,154.01 = 26,165.91 : x
  2. Step 2: Convert to fraction form
    76,092.30/114,154.01 = 26,165.91/x
  3. Step 3: Cross multiply
    76,092.30x = 114,154.01 × 26,165.91
  4. Step 4: Simplify right side
    76,092.30x = 2,986,942,981.03
  5. Step 5: Solve for x
    x = 2,986,942,981.03/76,092.30
  6. Step 6: Final answer
    x = 39,254.21

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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.