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Finding the Fourth Proportional to 29,493.69, 40,699.89 and 16,064.88

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Solution

The fourth proportional to 29,493.69, 40,699.89 and 16,064.88 is: 22,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,493.69 : 40,699.89 = 16,064.88 : x
  2. Step 2: Convert to fraction form
    29,493.69/40,699.89 = 16,064.88/x
  3. Step 3: Cross multiply
    29,493.69x = 40,699.89 × 16,064.88
  4. Step 4: Simplify right side
    29,493.69x = 653,838,848.86
  5. Step 5: Solve for x
    x = 653,838,848.86/29,493.69
  6. Step 6: Final answer
    x = 22,168.77

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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.