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Finding the Fourth Proportional to 25,578.32, 38,359.80 and 8,048.72

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Solution

The fourth proportional to 25,578.32, 38,359.80 and 8,048.72 is: 12,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.32 : 38,359.80 = 8,048.72 : x
  2. Step 2: Convert to fraction form
    25,578.32/38,359.80 = 8,048.72/x
  3. Step 3: Cross multiply
    25,578.32x = 38,359.80 × 8,048.72
  4. Step 4: Simplify right side
    25,578.32x = 308,747,289.46
  5. Step 5: Solve for x
    x = 308,747,289.46/25,578.32
  6. Step 6: Final answer
    x = 12,070.66

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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.