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Finding the Fourth Proportional to 106,052.93, 159,079.40 and 43,721.81

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Solution

The fourth proportional to 106,052.93, 159,079.40 and 43,721.81 is: 65,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,052.93 : 159,079.40 = 43,721.81 : x
  2. Step 2: Convert to fraction form
    106,052.93/159,079.40 = 43,721.81/x
  3. Step 3: Cross multiply
    106,052.93x = 159,079.40 × 43,721.81
  4. Step 4: Simplify right side
    106,052.93x = 6,955,239,083.10
  5. Step 5: Solve for x
    x = 6,955,239,083.10/106,052.93
  6. Step 6: Final answer
    x = 65,582.72

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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.