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Finding the Fourth Proportional to 75,234.87, 103,830.84 and 48,441.39

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Solution

The fourth proportional to 75,234.87, 103,830.84 and 48,441.39 is: 66,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,234.87 : 103,830.84 = 48,441.39 : x
  2. Step 2: Convert to fraction form
    75,234.87/103,830.84 = 48,441.39/x
  3. Step 3: Cross multiply
    75,234.87x = 103,830.84 × 48,441.39
  4. Step 4: Simplify right side
    75,234.87x = 5,029,710,214.47
  5. Step 5: Solve for x
    x = 5,029,710,214.47/75,234.87
  6. Step 6: Final answer
    x = 66,853.44

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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.