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Finding the Fourth Proportional to 29,414.52, 40,590.95 and 15,985.49

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Solution

The fourth proportional to 29,414.52, 40,590.95 and 15,985.49 is: 22,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,414.52 : 40,590.95 = 15,985.49 : x
  2. Step 2: Convert to fraction form
    29,414.52/40,590.95 = 15,985.49/x
  3. Step 3: Cross multiply
    29,414.52x = 40,590.95 × 15,985.49
  4. Step 4: Simplify right side
    29,414.52x = 648,865,942.43
  5. Step 5: Solve for x
    x = 648,865,942.43/29,414.52
  6. Step 6: Final answer
    x = 22,059.38

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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.