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Finding the Fourth Proportional to 34,256.96, 47,276.16 and 26,792

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Solution

The fourth proportional to 34,256.96, 47,276.16 and 26,792 is: 36,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,256.96 : 47,276.16 = 26,792 : x
  2. Step 2: Convert to fraction form
    34,256.96/47,276.16 = 26,792/x
  3. Step 3: Cross multiply
    34,256.96x = 47,276.16 × 26,792
  4. Step 4: Simplify right side
    34,256.96x = 1,266,622,878.72
  5. Step 5: Solve for x
    x = 1,266,622,878.72/34,256.96
  6. Step 6: Final answer
    x = 36,974.18

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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.