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Finding the Fourth Proportional to 46,697.25, 70,029.77 and 15,099.22

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Solution

The fourth proportional to 46,697.25, 70,029.77 and 15,099.22 is: 22,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,697.25 : 70,029.77 = 15,099.22 : x
  2. Step 2: Convert to fraction form
    46,697.25/70,029.77 = 15,099.22/x
  3. Step 3: Cross multiply
    46,697.25x = 70,029.77 × 15,099.22
  4. Step 4: Simplify right side
    46,697.25x = 1,057,394,553.63
  5. Step 5: Solve for x
    x = 1,057,394,553.63/46,697.25
  6. Step 6: Final answer
    x = 22,643.62

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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.