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Finding the Fourth Proportional to 96,141.72, 144,098.34 and 39,969.84

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Solution

The fourth proportional to 96,141.72, 144,098.34 and 39,969.84 is: 59,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,141.72 : 144,098.34 = 39,969.84 : x
  2. Step 2: Convert to fraction form
    96,141.72/144,098.34 = 39,969.84/x
  3. Step 3: Cross multiply
    96,141.72x = 144,098.34 × 39,969.84
  4. Step 4: Simplify right side
    96,141.72x = 5,759,587,594.07
  5. Step 5: Solve for x
    x = 5,759,587,594.07/96,141.72
  6. Step 6: Final answer
    x = 59,907.27

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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.