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Finding the Fourth Proportional to 109,900.64, 164,849.16 and 35,019.78

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Solution

The fourth proportional to 109,900.64, 164,849.16 and 35,019.78 is: 52,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,900.64 : 164,849.16 = 35,019.78 : x
  2. Step 2: Convert to fraction form
    109,900.64/164,849.16 = 35,019.78/x
  3. Step 3: Cross multiply
    109,900.64x = 164,849.16 × 35,019.78
  4. Step 4: Simplify right side
    109,900.64x = 5,772,981,316.38
  5. Step 5: Solve for x
    x = 5,772,981,316.38/109,900.64
  6. Step 6: Final answer
    x = 52,529.10

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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.