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Finding the Fourth Proportional to 29,672.50, 40,948.05 and 16,424.50

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Solution

The fourth proportional to 29,672.50, 40,948.05 and 16,424.50 is: 22,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.50 : 40,948.05 = 16,424.50 : x
  2. Step 2: Convert to fraction form
    29,672.50/40,948.05 = 16,424.50/x
  3. Step 3: Cross multiply
    29,672.50x = 40,948.05 × 16,424.50
  4. Step 4: Simplify right side
    29,672.50x = 672,551,247.23
  5. Step 5: Solve for x
    x = 672,551,247.23/29,672.50
  6. Step 6: Final answer
    x = 22,665.81

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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.