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Finding the Fourth Proportional to 106,007.16, 159,039.42 and 35,886.48

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Solution

The fourth proportional to 106,007.16, 159,039.42 and 35,886.48 is: 53,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,007.16 : 159,039.42 = 35,886.48 : x
  2. Step 2: Convert to fraction form
    106,007.16/159,039.42 = 35,886.48/x
  3. Step 3: Cross multiply
    106,007.16x = 159,039.42 × 35,886.48
  4. Step 4: Simplify right side
    106,007.16x = 5,707,364,965.04
  5. Step 5: Solve for x
    x = 5,707,364,965.04/106,007.16
  6. Step 6: Final answer
    x = 53,839.43

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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.