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Finding the Fourth Proportional to 53,807.61, 80,657.86 and 25,694.80

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Solution

The fourth proportional to 53,807.61, 80,657.86 and 25,694.80 is: 38,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,807.61 : 80,657.86 = 25,694.80 : x
  2. Step 2: Convert to fraction form
    53,807.61/80,657.86 = 25,694.80/x
  3. Step 3: Cross multiply
    53,807.61x = 80,657.86 × 25,694.80
  4. Step 4: Simplify right side
    53,807.61x = 2,072,487,626.41
  5. Step 5: Solve for x
    x = 2,072,487,626.41/53,807.61
  6. Step 6: Final answer
    x = 38,516.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.