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Finding the Fourth Proportional to 109,900.77, 164,849.36 and 35,019.90

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Solution

The fourth proportional to 109,900.77, 164,849.36 and 35,019.90 is: 52,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,900.77 : 164,849.36 = 35,019.90 : x
  2. Step 2: Convert to fraction form
    109,900.77/164,849.36 = 35,019.90/x
  3. Step 3: Cross multiply
    109,900.77x = 164,849.36 × 35,019.90
  4. Step 4: Simplify right side
    109,900.77x = 5,773,007,927.16
  5. Step 5: Solve for x
    x = 5,773,007,927.16/109,900.77
  6. Step 6: Final answer
    x = 52,529.28

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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.