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Finding the Fourth Proportional to 34,538.60, 51,807.70 and 9,578.39

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Solution

The fourth proportional to 34,538.60, 51,807.70 and 9,578.39 is: 14,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.60 : 51,807.70 = 9,578.39 : x
  2. Step 2: Convert to fraction form
    34,538.60/51,807.70 = 9,578.39/x
  3. Step 3: Cross multiply
    34,538.60x = 51,807.70 × 9,578.39
  4. Step 4: Simplify right side
    34,538.60x = 496,234,108.54
  5. Step 5: Solve for x
    x = 496,234,108.54/34,538.60
  6. Step 6: Final answer
    x = 14,367.52

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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.