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Finding the Fourth Proportional to 106,507.78, 159,765.72 and 35,436.76

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Solution

The fourth proportional to 106,507.78, 159,765.72 and 35,436.76 is: 53,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.78 : 159,765.72 = 35,436.76 : x
  2. Step 2: Convert to fraction form
    106,507.78/159,765.72 = 35,436.76/x
  3. Step 3: Cross multiply
    106,507.78x = 159,765.72 × 35,436.76
  4. Step 4: Simplify right side
    106,507.78x = 5,661,579,475.87
  5. Step 5: Solve for x
    x = 5,661,579,475.87/106,507.78
  6. Step 6: Final answer
    x = 53,156.49

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1.5x scale

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.