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Finding the Fourth Proportional to 106,037.67, 159,052.35 and 35,916.98

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Solution

The fourth proportional to 106,037.67, 159,052.35 and 35,916.98 is: 53,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,037.67 : 159,052.35 = 35,916.98 : x
  2. Step 2: Convert to fraction form
    106,037.67/159,052.35 = 35,916.98/x
  3. Step 3: Cross multiply
    106,037.67x = 159,052.35 × 35,916.98
  4. Step 4: Simplify right side
    106,037.67x = 5,712,680,073.90
  5. Step 5: Solve for x
    x = 5,712,680,073.90/106,037.67
  6. Step 6: Final answer
    x = 53,874.06

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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.