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Finding the Fourth Proportional to 32,423.85, 44,762.54 and 22,406.22

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Solution

The fourth proportional to 32,423.85, 44,762.54 and 22,406.22 is: 30,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423.85 : 44,762.54 = 22,406.22 : x
  2. Step 2: Convert to fraction form
    32,423.85/44,762.54 = 22,406.22/x
  3. Step 3: Cross multiply
    32,423.85x = 44,762.54 × 22,406.22
  4. Step 4: Simplify right side
    32,423.85x = 1,002,959,206.97
  5. Step 5: Solve for x
    x = 1,002,959,206.97/32,423.85
  6. Step 6: Final answer
    x = 30,932.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.