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Finding the Fourth Proportional to 29,352.68, 40,506 and 16,255.31

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Solution

The fourth proportional to 29,352.68, 40,506 and 16,255.31 is: 22,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,352.68 : 40,506 = 16,255.31 : x
  2. Step 2: Convert to fraction form
    29,352.68/40,506 = 16,255.31/x
  3. Step 3: Cross multiply
    29,352.68x = 40,506 × 16,255.31
  4. Step 4: Simplify right side
    29,352.68x = 658,437,586.86
  5. Step 5: Solve for x
    x = 658,437,586.86/29,352.68
  6. Step 6: Final answer
    x = 22,431.94

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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.