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Finding the Fourth Proportional to 67,830.32, 93,539.16 and 51,738.80

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Solution

The fourth proportional to 67,830.32, 93,539.16 and 51,738.80 is: 71,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830.32 : 93,539.16 = 51,738.80 : x
  2. Step 2: Convert to fraction form
    67,830.32/93,539.16 = 51,738.80/x
  3. Step 3: Cross multiply
    67,830.32x = 93,539.16 × 51,738.80
  4. Step 4: Simplify right side
    67,830.32x = 4,839,603,891.41
  5. Step 5: Solve for x
    x = 4,839,603,891.41/67,830.32
  6. Step 6: Final answer
    x = 71,348.68

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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.