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Finding the Fourth Proportional to 83,907, 115,791.64 and 46,181.24

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Solution

The fourth proportional to 83,907, 115,791.64 and 46,181.24 is: 63,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,907 : 115,791.64 = 46,181.24 : x
  2. Step 2: Convert to fraction form
    83,907/115,791.64 = 46,181.24/x
  3. Step 3: Cross multiply
    83,907x = 115,791.64 × 46,181.24
  4. Step 4: Simplify right side
    83,907x = 5,347,401,516.83
  5. Step 5: Solve for x
    x = 5,347,401,516.83/83,907
  6. Step 6: Final answer
    x = 63,730.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.