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Finding the Fourth Proportional to 106,585.55, 159,894.11 and 35,484.96

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Solution

The fourth proportional to 106,585.55, 159,894.11 and 35,484.96 is: 53,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.55 : 159,894.11 = 35,484.96 : x
  2. Step 2: Convert to fraction form
    106,585.55/159,894.11 = 35,484.96/x
  3. Step 3: Cross multiply
    106,585.55x = 159,894.11 × 35,484.96
  4. Step 4: Simplify right side
    106,585.55x = 5,673,836,097.59
  5. Step 5: Solve for x
    x = 5,673,836,097.59/106,585.55
  6. Step 6: Final answer
    x = 53,232.70

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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.