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Finding the Fourth Proportional to 106,624.32, 159,883.02 and 35,521.98

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Solution

The fourth proportional to 106,624.32, 159,883.02 and 35,521.98 is: 53,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,624.32 : 159,883.02 = 35,521.98 : x
  2. Step 2: Convert to fraction form
    106,624.32/159,883.02 = 35,521.98/x
  3. Step 3: Cross multiply
    106,624.32x = 159,883.02 × 35,521.98
  4. Step 4: Simplify right side
    106,624.32x = 5,679,361,438.78
  5. Step 5: Solve for x
    x = 5,679,361,438.78/106,624.32
  6. Step 6: Final answer
    x = 53,265.16

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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.