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Finding the Fourth Proportional to 29,837.96, 44,756.94 and 14,208.20

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Solution

The fourth proportional to 29,837.96, 44,756.94 and 14,208.20 is: 21,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,837.96 : 44,756.94 = 14,208.20 : x
  2. Step 2: Convert to fraction form
    29,837.96/44,756.94 = 14,208.20/x
  3. Step 3: Cross multiply
    29,837.96x = 44,756.94 × 14,208.20
  4. Step 4: Simplify right side
    29,837.96x = 635,915,554.91
  5. Step 5: Solve for x
    x = 635,915,554.91/29,837.96
  6. Step 6: Final answer
    x = 21,312.30

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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.