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Finding the Fourth Proportional to 102,920.48, 154,379.10 and 32,798.78

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Solution

The fourth proportional to 102,920.48, 154,379.10 and 32,798.78 is: 49,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920.48 : 154,379.10 = 32,798.78 : x
  2. Step 2: Convert to fraction form
    102,920.48/154,379.10 = 32,798.78/x
  3. Step 3: Cross multiply
    102,920.48x = 154,379.10 × 32,798.78
  4. Step 4: Simplify right side
    102,920.48x = 5,063,446,137.50
  5. Step 5: Solve for x
    x = 5,063,446,137.50/102,920.48
  6. Step 6: Final answer
    x = 49,197.65

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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.