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Finding the Fourth Proportional to 45,780.56, 68,578.50 and 38,364.20

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Solution

The fourth proportional to 45,780.56, 68,578.50 and 38,364.20 is: 57,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,780.56 : 68,578.50 = 38,364.20 : x
  2. Step 2: Convert to fraction form
    45,780.56/68,578.50 = 38,364.20/x
  3. Step 3: Cross multiply
    45,780.56x = 68,578.50 × 38,364.20
  4. Step 4: Simplify right side
    45,780.56x = 2,630,959,289.70
  5. Step 5: Solve for x
    x = 2,630,959,289.70/45,780.56
  6. Step 6: Final answer
    x = 57,468.92

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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.