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Finding the Fourth Proportional to 34,537.98, 47,455.86 and 27,452.10

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Solution

The fourth proportional to 34,537.98, 47,455.86 and 27,452.10 is: 37,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,537.98 : 47,455.86 = 27,452.10 : x
  2. Step 2: Convert to fraction form
    34,537.98/47,455.86 = 27,452.10/x
  3. Step 3: Cross multiply
    34,537.98x = 47,455.86 × 27,452.10
  4. Step 4: Simplify right side
    34,537.98x = 1,302,763,014.31
  5. Step 5: Solve for x
    x = 1,302,763,014.31/34,537.98
  6. Step 6: Final answer
    x = 37,719.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.