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Finding the Fourth Proportional to 96,709.80, 144,977.16 and 34,365.72

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Solution

The fourth proportional to 96,709.80, 144,977.16 and 34,365.72 is: 51,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,709.80 : 144,977.16 = 34,365.72 : x
  2. Step 2: Convert to fraction form
    96,709.80/144,977.16 = 34,365.72/x
  3. Step 3: Cross multiply
    96,709.80x = 144,977.16 × 34,365.72
  4. Step 4: Simplify right side
    96,709.80x = 4,982,244,486.96
  5. Step 5: Solve for x
    x = 4,982,244,486.96/96,709.80
  6. Step 6: Final answer
    x = 51,517.47

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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.