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Finding the Fourth Proportional to 102,550.41, 153,758.85 and 42,562.37

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Solution

The fourth proportional to 102,550.41, 153,758.85 and 42,562.37 is: 63,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,550.41 : 153,758.85 = 42,562.37 : x
  2. Step 2: Convert to fraction form
    102,550.41/153,758.85 = 42,562.37/x
  3. Step 3: Cross multiply
    102,550.41x = 153,758.85 × 42,562.37
  4. Step 4: Simplify right side
    102,550.41x = 6,544,340,295.68
  5. Step 5: Solve for x
    x = 6,544,340,295.68/102,550.41
  6. Step 6: Final answer
    x = 63,815.84

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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.