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Finding the Fourth Proportional to 34,542.54, 51,814.80 and 9,582.84

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Solution

The fourth proportional to 34,542.54, 51,814.80 and 9,582.84 is: 14,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.54 : 51,814.80 = 9,582.84 : x
  2. Step 2: Convert to fraction form
    34,542.54/51,814.80 = 9,582.84/x
  3. Step 3: Cross multiply
    34,542.54x = 51,814.80 × 9,582.84
  4. Step 4: Simplify right side
    34,542.54x = 496,532,938.03
  5. Step 5: Solve for x
    x = 496,532,938.03/34,542.54
  6. Step 6: Final answer
    x = 14,374.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.