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Finding the Fourth Proportional to 96,113.98, 144,174.96 and 32,977.51

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Solution

The fourth proportional to 96,113.98, 144,174.96 and 32,977.51 is: 49,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,113.98 : 144,174.96 = 32,977.51 : x
  2. Step 2: Convert to fraction form
    96,113.98/144,174.96 = 32,977.51/x
  3. Step 3: Cross multiply
    96,113.98x = 144,174.96 × 32,977.51
  4. Step 4: Simplify right side
    96,113.98x = 4,754,531,215.64
  5. Step 5: Solve for x
    x = 4,754,531,215.64/96,113.98
  6. Step 6: Final answer
    x = 49,467.63

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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.