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Finding the Fourth Proportional to 29,096.65, 40,152.31 and 17,785.09

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Solution

The fourth proportional to 29,096.65, 40,152.31 and 17,785.09 is: 24,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,096.65 : 40,152.31 = 17,785.09 : x
  2. Step 2: Convert to fraction form
    29,096.65/40,152.31 = 17,785.09/x
  3. Step 3: Cross multiply
    29,096.65x = 40,152.31 × 17,785.09
  4. Step 4: Simplify right side
    29,096.65x = 714,112,447.06
  5. Step 5: Solve for x
    x = 714,112,447.06/29,096.65
  6. Step 6: Final answer
    x = 24,542.77

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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.