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Finding the Fourth Proportional to 106,548.69, 159,849.06 and 35,471.19

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Solution

The fourth proportional to 106,548.69, 159,849.06 and 35,471.19 is: 53,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,548.69 : 159,849.06 = 35,471.19 : x
  2. Step 2: Convert to fraction form
    106,548.69/159,849.06 = 35,471.19/x
  3. Step 3: Cross multiply
    106,548.69x = 159,849.06 × 35,471.19
  4. Step 4: Simplify right side
    106,548.69x = 5,670,036,378.58
  5. Step 5: Solve for x
    x = 5,670,036,378.58/106,548.69
  6. Step 6: Final answer
    x = 53,215.45

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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.