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Finding the Fourth Proportional to 106,493.69, 159,713.19 and 31,596.11

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Solution

The fourth proportional to 106,493.69, 159,713.19 and 31,596.11 is: 47,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,493.69 : 159,713.19 = 31,596.11 : x
  2. Step 2: Convert to fraction form
    106,493.69/159,713.19 = 31,596.11/x
  3. Step 3: Cross multiply
    106,493.69x = 159,713.19 × 31,596.11
  4. Step 4: Simplify right side
    106,493.69x = 5,046,316,082.70
  5. Step 5: Solve for x
    x = 5,046,316,082.70/106,493.69
  6. Step 6: Final answer
    x = 47,386.06

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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.