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Finding the Fourth Proportional to 29,395, 40,566.90 and 16,649.38

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Solution

The fourth proportional to 29,395, 40,566.90 and 16,649.38 is: 22,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,395 : 40,566.90 = 16,649.38 : x
  2. Step 2: Convert to fraction form
    29,395/40,566.90 = 16,649.38/x
  3. Step 3: Cross multiply
    29,395x = 40,566.90 × 16,649.38
  4. Step 4: Simplify right side
    29,395x = 675,413,733.52
  5. Step 5: Solve for x
    x = 675,413,733.52/29,395
  6. Step 6: Final answer
    x = 22,977.16

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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.