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Finding the Fourth Proportional to 76,222.13, 114,332.16 and 23,631.62

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Solution

The fourth proportional to 76,222.13, 114,332.16 and 23,631.62 is: 35,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,222.13 : 114,332.16 = 23,631.62 : x
  2. Step 2: Convert to fraction form
    76,222.13/114,332.16 = 23,631.62/x
  3. Step 3: Cross multiply
    76,222.13x = 114,332.16 × 23,631.62
  4. Step 4: Simplify right side
    76,222.13x = 2,701,853,542.93
  5. Step 5: Solve for x
    x = 2,701,853,542.93/76,222.13
  6. Step 6: Final answer
    x = 35,447.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.