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Finding the Fourth Proportional to 29,199.27, 40,295.10 and 17,710.33

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Solution

The fourth proportional to 29,199.27, 40,295.10 and 17,710.33 is: 24,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,199.27 : 40,295.10 = 17,710.33 : x
  2. Step 2: Convert to fraction form
    29,199.27/40,295.10 = 17,710.33/x
  3. Step 3: Cross multiply
    29,199.27x = 40,295.10 × 17,710.33
  4. Step 4: Simplify right side
    29,199.27x = 713,639,518.38
  5. Step 5: Solve for x
    x = 713,639,518.38/29,199.27
  6. Step 6: Final answer
    x = 24,440.32

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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.