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Finding the Fourth Proportional to 30,758.26, 42,446.52 and 17,840.07

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Solution

The fourth proportional to 30,758.26, 42,446.52 and 17,840.07 is: 24,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.26 : 42,446.52 = 17,840.07 : x
  2. Step 2: Convert to fraction form
    30,758.26/42,446.52 = 17,840.07/x
  3. Step 3: Cross multiply
    30,758.26x = 42,446.52 × 17,840.07
  4. Step 4: Simplify right side
    30,758.26x = 757,248,982.35
  5. Step 5: Solve for x
    x = 757,248,982.35/30,758.26
  6. Step 6: Final answer
    x = 24,619.37

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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.