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Finding the Fourth Proportional to 172,504.02, 258,756.01 and 47,845.02

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Solution

The fourth proportional to 172,504.02, 258,756.01 and 47,845.02 is: 71,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,504.02 : 258,756.01 = 47,845.02 : x
  2. Step 2: Convert to fraction form
    172,504.02/258,756.01 = 47,845.02/x
  3. Step 3: Cross multiply
    172,504.02x = 258,756.01 × 47,845.02
  4. Step 4: Simplify right side
    172,504.02x = 12,380,186,473.57
  5. Step 5: Solve for x
    x = 12,380,186,473.57/172,504.02
  6. Step 6: Final answer
    x = 71,767.52

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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.