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Finding the Fourth Proportional to 109,732.69, 151,431.41 and 59,431.69

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Solution

The fourth proportional to 109,732.69, 151,431.41 and 59,431.69 is: 82,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,732.69 : 151,431.41 = 59,431.69 : x
  2. Step 2: Convert to fraction form
    109,732.69/151,431.41 = 59,431.69/x
  3. Step 3: Cross multiply
    109,732.69x = 151,431.41 × 59,431.69
  4. Step 4: Simplify right side
    109,732.69x = 8,999,824,615.38
  5. Step 5: Solve for x
    x = 8,999,824,615.38/109,732.69
  6. Step 6: Final answer
    x = 82,015.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.