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Finding the Fourth Proportional to 42,861.32, 64,031.31 and 27,745.28

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Solution

The fourth proportional to 42,861.32, 64,031.31 and 27,745.28 is: 41,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,861.32 : 64,031.31 = 27,745.28 : x
  2. Step 2: Convert to fraction form
    42,861.32/64,031.31 = 27,745.28/x
  3. Step 3: Cross multiply
    42,861.32x = 64,031.31 × 27,745.28
  4. Step 4: Simplify right side
    42,861.32x = 1,776,566,485.99
  5. Step 5: Solve for x
    x = 1,776,566,485.99/42,861.32
  6. Step 6: Final answer
    x = 41,449.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.