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Finding the Fourth Proportional to 106,598.98, 159,869.28 and 40,033.96

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Solution

The fourth proportional to 106,598.98, 159,869.28 and 40,033.96 is: 60,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598.98 : 159,869.28 = 40,033.96 : x
  2. Step 2: Convert to fraction form
    106,598.98/159,869.28 = 40,033.96/x
  3. Step 3: Cross multiply
    106,598.98x = 159,869.28 × 40,033.96
  4. Step 4: Simplify right side
    106,598.98x = 6,400,200,360.75
  5. Step 5: Solve for x
    x = 6,400,200,360.75/106,598.98
  6. Step 6: Final answer
    x = 60,039.98

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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.