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Finding the Fourth Proportional to 106,507.53, 159,765.35 and 35,436.51

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Solution

The fourth proportional to 106,507.53, 159,765.35 and 35,436.51 is: 53,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.53 : 159,765.35 = 35,436.51 : x
  2. Step 2: Convert to fraction form
    106,507.53/159,765.35 = 35,436.51/x
  3. Step 3: Cross multiply
    106,507.53x = 159,765.35 × 35,436.51
  4. Step 4: Simplify right side
    106,507.53x = 5,661,526,245.75
  5. Step 5: Solve for x
    x = 5,661,526,245.75/106,507.53
  6. Step 6: Final answer
    x = 53,156.11

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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.