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Finding the Fourth Proportional to 71,046, 106,537.92 and 37,758.06

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Solution

The fourth proportional to 71,046, 106,537.92 and 37,758.06 is: 56,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,046 : 106,537.92 = 37,758.06 : x
  2. Step 2: Convert to fraction form
    71,046/106,537.92 = 37,758.06/x
  3. Step 3: Cross multiply
    71,046x = 106,537.92 × 37,758.06
  4. Step 4: Simplify right side
    71,046x = 4,022,665,175.64
  5. Step 5: Solve for x
    x = 4,022,665,175.64/71,046
  6. Step 6: Final answer
    x = 56,620.57

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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.