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Finding the Fourth Proportional to 34,031.14, 46,965 and 18,923.92

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Solution

The fourth proportional to 34,031.14, 46,965 and 18,923.92 is: 26,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,031.14 : 46,965 = 18,923.92 : x
  2. Step 2: Convert to fraction form
    34,031.14/46,965 = 18,923.92/x
  3. Step 3: Cross multiply
    34,031.14x = 46,965 × 18,923.92
  4. Step 4: Simplify right side
    34,031.14x = 888,761,902.80
  5. Step 5: Solve for x
    x = 888,761,902.80/34,031.14
  6. Step 6: Final answer
    x = 26,116.14

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