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Finding the Fourth Proportional to 34,102.08, 51,132.64 and 14,096.16

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Solution

The fourth proportional to 34,102.08, 51,132.64 and 14,096.16 is: 21,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.08 : 51,132.64 = 14,096.16 : x
  2. Step 2: Convert to fraction form
    34,102.08/51,132.64 = 14,096.16/x
  3. Step 3: Cross multiply
    34,102.08x = 51,132.64 × 14,096.16
  4. Step 4: Simplify right side
    34,102.08x = 720,773,874.66
  5. Step 5: Solve for x
    x = 720,773,874.66/34,102.08
  6. Step 6: Final answer
    x = 21,135.77

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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.