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Finding the Fourth Proportional to 46,276.96, 69,401.12 and 16,691

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Solution

The fourth proportional to 46,276.96, 69,401.12 and 16,691 is: 25,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,276.96 : 69,401.12 = 16,691 : x
  2. Step 2: Convert to fraction form
    46,276.96/69,401.12 = 16,691/x
  3. Step 3: Cross multiply
    46,276.96x = 69,401.12 × 16,691
  4. Step 4: Simplify right side
    46,276.96x = 1,158,374,093.92
  5. Step 5: Solve for x
    x = 1,158,374,093.92/46,276.96
  6. Step 6: Final answer
    x = 25,031.34

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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.