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Finding the Fourth Proportional to 29,767.36, 44,651.16 and 10,046

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Solution

The fourth proportional to 29,767.36, 44,651.16 and 10,046 is: 15,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.36 : 44,651.16 = 10,046 : x
  2. Step 2: Convert to fraction form
    29,767.36/44,651.16 = 10,046/x
  3. Step 3: Cross multiply
    29,767.36x = 44,651.16 × 10,046
  4. Step 4: Simplify right side
    29,767.36x = 448,565,553.36
  5. Step 5: Solve for x
    x = 448,565,553.36/29,767.36
  6. Step 6: Final answer
    x = 15,069.04

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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.