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Finding the Fourth Proportional to 34,114.34, 47,077.08 and 19,006.94

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Solution

The fourth proportional to 34,114.34, 47,077.08 and 19,006.94 is: 26,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.34 : 47,077.08 = 19,006.94 : x
  2. Step 2: Convert to fraction form
    34,114.34/47,077.08 = 19,006.94/x
  3. Step 3: Cross multiply
    34,114.34x = 47,077.08 × 19,006.94
  4. Step 4: Simplify right side
    34,114.34x = 894,791,234.94
  5. Step 5: Solve for x
    x = 894,791,234.94/34,114.34
  6. Step 6: Final answer
    x = 26,229.18

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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.