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Finding the Fourth Proportional to 34,061.12, 51,081.96 and 14,336

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Solution

The fourth proportional to 34,061.12, 51,081.96 and 14,336 is: 21,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,061.12 : 51,081.96 = 14,336 : x
  2. Step 2: Convert to fraction form
    34,061.12/51,081.96 = 14,336/x
  3. Step 3: Cross multiply
    34,061.12x = 51,081.96 × 14,336
  4. Step 4: Simplify right side
    34,061.12x = 732,310,978.56
  5. Step 5: Solve for x
    x = 732,310,978.56/34,061.12
  6. Step 6: Final answer
    x = 21,499.91

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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.