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Finding the Fourth Proportional to 97,849.88, 146,774.81 and 23,977.88

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Solution

The fourth proportional to 97,849.88, 146,774.81 and 23,977.88 is: 35,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,849.88 : 146,774.81 = 23,977.88 : x
  2. Step 2: Convert to fraction form
    97,849.88/146,774.81 = 23,977.88/x
  3. Step 3: Cross multiply
    97,849.88x = 146,774.81 × 23,977.88
  4. Step 4: Simplify right side
    97,849.88x = 3,519,348,107.27
  5. Step 5: Solve for x
    x = 3,519,348,107.27/97,849.88
  6. Step 6: Final answer
    x = 35,966.81

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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.