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Finding the Fourth Proportional to 106,096.64, 159,215.07 and 49,952.81

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Solution

The fourth proportional to 106,096.64, 159,215.07 and 49,952.81 is: 74,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,096.64 : 159,215.07 = 49,952.81 : x
  2. Step 2: Convert to fraction form
    106,096.64/159,215.07 = 49,952.81/x
  3. Step 3: Cross multiply
    106,096.64x = 159,215.07 × 49,952.81
  4. Step 4: Simplify right side
    106,096.64x = 7,953,239,344.77
  5. Step 5: Solve for x
    x = 7,953,239,344.77/106,096.64
  6. Step 6: Final answer
    x = 74,962.22

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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.