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Finding the Fourth Proportional to 76,187.72, 114,311.66 and 23,601.30

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Solution

The fourth proportional to 76,187.72, 114,311.66 and 23,601.30 is: 35,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,187.72 : 114,311.66 = 23,601.30 : x
  2. Step 2: Convert to fraction form
    76,187.72/114,311.66 = 23,601.30/x
  3. Step 3: Cross multiply
    76,187.72x = 114,311.66 × 23,601.30
  4. Step 4: Simplify right side
    76,187.72x = 2,697,903,663.15
  5. Step 5: Solve for x
    x = 2,697,903,663.15/76,187.72
  6. Step 6: Final answer
    x = 35,411.27

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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.