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Finding the Fourth Proportional to 144,070.62, 216,059.21 and 47,982.25

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Solution

The fourth proportional to 144,070.62, 216,059.21 and 47,982.25 is: 71,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,070.62 : 216,059.21 = 47,982.25 : x
  2. Step 2: Convert to fraction form
    144,070.62/216,059.21 = 47,982.25/x
  3. Step 3: Cross multiply
    144,070.62x = 216,059.21 × 47,982.25
  4. Step 4: Simplify right side
    144,070.62x = 10,367,007,029.02
  5. Step 5: Solve for x
    x = 10,367,007,029.02/144,070.62
  6. Step 6: Final answer
    x = 71,957.82

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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.