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Finding the Fourth Proportional to 29,402.94, 40,577.16 and 17,467.38

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Solution

The fourth proportional to 29,402.94, 40,577.16 and 17,467.38 is: 24,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,402.94 : 40,577.16 = 17,467.38 : x
  2. Step 2: Convert to fraction form
    29,402.94/40,577.16 = 17,467.38/x
  3. Step 3: Cross multiply
    29,402.94x = 40,577.16 × 17,467.38
  4. Step 4: Simplify right side
    29,402.94x = 708,776,673.04
  5. Step 5: Solve for x
    x = 708,776,673.04/29,402.94
  6. Step 6: Final answer
    x = 24,105.64

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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.