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Finding the Fourth Proportional to 30,859.80, 42,586.22 and 17,431.02

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Solution

The fourth proportional to 30,859.80, 42,586.22 and 17,431.02 is: 24,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.80 : 42,586.22 = 17,431.02 : x
  2. Step 2: Convert to fraction form
    30,859.80/42,586.22 = 17,431.02/x
  3. Step 3: Cross multiply
    30,859.80x = 42,586.22 × 17,431.02
  4. Step 4: Simplify right side
    30,859.80x = 742,321,252.54
  5. Step 5: Solve for x
    x = 742,321,252.54/30,859.80
  6. Step 6: Final answer
    x = 24,054.64

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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.