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Finding the Fourth Proportional to 38,433.98, 53,043.72 and 22,524.50

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Solution

The fourth proportional to 38,433.98, 53,043.72 and 22,524.50 is: 31,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433.98 : 53,043.72 = 22,524.50 : x
  2. Step 2: Convert to fraction form
    38,433.98/53,043.72 = 22,524.50/x
  3. Step 3: Cross multiply
    38,433.98x = 53,043.72 × 22,524.50
  4. Step 4: Simplify right side
    38,433.98x = 1,194,783,271.14
  5. Step 5: Solve for x
    x = 1,194,783,271.14/38,433.98
  6. Step 6: Final answer
    x = 31,086.64

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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.