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Finding the Fourth Proportional to 29,767.68, 41,081.51 and 19,678.59

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Solution

The fourth proportional to 29,767.68, 41,081.51 and 19,678.59 is: 27,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.68 : 41,081.51 = 19,678.59 : x
  2. Step 2: Convert to fraction form
    29,767.68/41,081.51 = 19,678.59/x
  3. Step 3: Cross multiply
    29,767.68x = 41,081.51 × 19,678.59
  4. Step 4: Simplify right side
    29,767.68x = 808,426,191.87
  5. Step 5: Solve for x
    x = 808,426,191.87/29,767.68
  6. Step 6: Final answer
    x = 27,157.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.