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Finding the Fourth Proportional to 96,509.88, 144,761.04 and 40,335.48

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Solution

The fourth proportional to 96,509.88, 144,761.04 and 40,335.48 is: 60,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509.88 : 144,761.04 = 40,335.48 : x
  2. Step 2: Convert to fraction form
    96,509.88/144,761.04 = 40,335.48/x
  3. Step 3: Cross multiply
    96,509.88x = 144,761.04 × 40,335.48
  4. Step 4: Simplify right side
    96,509.88x = 5,839,006,033.70
  5. Step 5: Solve for x
    x = 5,839,006,033.70/96,509.88
  6. Step 6: Final answer
    x = 60,501.64

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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.