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Finding the Fourth Proportional to 29,225.85, 40,329.27 and 16,478.34

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Solution

The fourth proportional to 29,225.85, 40,329.27 and 16,478.34 is: 22,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,225.85 : 40,329.27 = 16,478.34 : x
  2. Step 2: Convert to fraction form
    29,225.85/40,329.27 = 16,478.34/x
  3. Step 3: Cross multiply
    29,225.85x = 40,329.27 × 16,478.34
  4. Step 4: Simplify right side
    29,225.85x = 664,559,423.01
  5. Step 5: Solve for x
    x = 664,559,423.01/29,225.85
  6. Step 6: Final answer
    x = 22,738.75

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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.