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Finding the Fourth Proportional to 106,102.87, 159,164.71 and 38,653.24

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Solution

The fourth proportional to 106,102.87, 159,164.71 and 38,653.24 is: 57,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102.87 : 159,164.71 = 38,653.24 : x
  2. Step 2: Convert to fraction form
    106,102.87/159,164.71 = 38,653.24/x
  3. Step 3: Cross multiply
    106,102.87x = 159,164.71 × 38,653.24
  4. Step 4: Simplify right side
    106,102.87x = 6,152,231,837.48
  5. Step 5: Solve for x
    x = 6,152,231,837.48/106,102.87
  6. Step 6: Final answer
    x = 57,983.65

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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.