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Finding the Fourth Proportional to 38,466.54, 57,706.29 and 17,689.50

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Solution

The fourth proportional to 38,466.54, 57,706.29 and 17,689.50 is: 26,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.54 : 57,706.29 = 17,689.50 : x
  2. Step 2: Convert to fraction form
    38,466.54/57,706.29 = 17,689.50/x
  3. Step 3: Cross multiply
    38,466.54x = 57,706.29 × 17,689.50
  4. Step 4: Simplify right side
    38,466.54x = 1,020,795,416.96
  5. Step 5: Solve for x
    x = 1,020,795,416.96/38,466.54
  6. Step 6: Final answer
    x = 26,537.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.