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Finding the Fourth Proportional to 34,095.72, 51,134.94 and 14,374.12

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Solution

The fourth proportional to 34,095.72, 51,134.94 and 14,374.12 is: 21,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,095.72 : 51,134.94 = 14,374.12 : x
  2. Step 2: Convert to fraction form
    34,095.72/51,134.94 = 14,374.12/x
  3. Step 3: Cross multiply
    34,095.72x = 51,134.94 × 14,374.12
  4. Step 4: Simplify right side
    34,095.72x = 735,019,763.75
  5. Step 5: Solve for x
    x = 735,019,763.75/34,095.72
  6. Step 6: Final answer
    x = 21,557.54

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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.