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Finding the Fourth Proportional to 121,578.30, 182,376.68 and 32,830.54

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Solution

The fourth proportional to 121,578.30, 182,376.68 and 32,830.54 is: 49,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,578.30 : 182,376.68 = 32,830.54 : x
  2. Step 2: Convert to fraction form
    121,578.30/182,376.68 = 32,830.54/x
  3. Step 3: Cross multiply
    121,578.30x = 182,376.68 × 32,830.54
  4. Step 4: Simplify right side
    121,578.30x = 5,987,524,267.71
  5. Step 5: Solve for x
    x = 5,987,524,267.71/121,578.30
  6. Step 6: Final answer
    x = 49,248.30

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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.