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Finding the Fourth Proportional to 29,784.96, 41,106.53 and 17,039.32

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Solution

The fourth proportional to 29,784.96, 41,106.53 and 17,039.32 is: 23,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.96 : 41,106.53 = 17,039.32 : x
  2. Step 2: Convert to fraction form
    29,784.96/41,106.53 = 17,039.32/x
  3. Step 3: Cross multiply
    29,784.96x = 41,106.53 × 17,039.32
  4. Step 4: Simplify right side
    29,784.96x = 700,427,233.56
  5. Step 5: Solve for x
    x = 700,427,233.56/29,784.96
  6. Step 6: Final answer
    x = 23,516.14

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Why These Related Problems?

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