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Finding the Fourth Proportional to 31,152.42, 42,990.21 and 17,005.23

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Solution

The fourth proportional to 31,152.42, 42,990.21 and 17,005.23 is: 23,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.42 : 42,990.21 = 17,005.23 : x
  2. Step 2: Convert to fraction form
    31,152.42/42,990.21 = 17,005.23/x
  3. Step 3: Cross multiply
    31,152.42x = 42,990.21 × 17,005.23
  4. Step 4: Simplify right side
    31,152.42x = 731,058,408.80
  5. Step 5: Solve for x
    x = 731,058,408.80/31,152.42
  6. Step 6: Final answer
    x = 23,467.15

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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.