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Finding the Fourth Proportional to 29,031.75, 40,064.28 and 16,287.77

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Solution

The fourth proportional to 29,031.75, 40,064.28 and 16,287.77 is: 22,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,031.75 : 40,064.28 = 16,287.77 : x
  2. Step 2: Convert to fraction form
    29,031.75/40,064.28 = 16,287.77/x
  3. Step 3: Cross multiply
    29,031.75x = 40,064.28 × 16,287.77
  4. Step 4: Simplify right side
    29,031.75x = 652,557,777.86
  5. Step 5: Solve for x
    x = 652,557,777.86/29,031.75
  6. Step 6: Final answer
    x = 22,477.38

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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.