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Finding the Fourth Proportional to 34,114.47, 51,077.23 and 17,438.59

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Solution

The fourth proportional to 34,114.47, 51,077.23 and 17,438.59 is: 26,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.47 : 51,077.23 = 17,438.59 : x
  2. Step 2: Convert to fraction form
    34,114.47/51,077.23 = 17,438.59/x
  3. Step 3: Cross multiply
    34,114.47x = 51,077.23 × 17,438.59
  4. Step 4: Simplify right side
    34,114.47x = 890,714,872.31
  5. Step 5: Solve for x
    x = 890,714,872.31/34,114.47
  6. Step 6: Final answer
    x = 26,109.59

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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.