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Finding the Fourth Proportional to 29,403.94, 40,578.54 and 17,468.38

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Solution

The fourth proportional to 29,403.94, 40,578.54 and 17,468.38 is: 24,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,403.94 : 40,578.54 = 17,468.38 : x
  2. Step 2: Convert to fraction form
    29,403.94/40,578.54 = 17,468.38/x
  3. Step 3: Cross multiply
    29,403.94x = 40,578.54 × 17,468.38
  4. Step 4: Simplify right side
    29,403.94x = 708,841,356.57
  5. Step 5: Solve for x
    x = 708,841,356.57/29,403.94
  6. Step 6: Final answer
    x = 24,107.02

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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.