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Finding the Fourth Proportional to 29,782, 41,099.76 and 16,353.22

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Solution

The fourth proportional to 29,782, 41,099.76 and 16,353.22 is: 22,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782 : 41,099.76 = 16,353.22 : x
  2. Step 2: Convert to fraction form
    29,782/41,099.76 = 16,353.22/x
  3. Step 3: Cross multiply
    29,782x = 41,099.76 × 16,353.22
  4. Step 4: Simplify right side
    29,782x = 672,113,417.23
  5. Step 5: Solve for x
    x = 672,113,417.23/29,782
  6. Step 6: Final answer
    x = 22,567.77

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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.