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Finding the Fourth Proportional to 51,827.54, 77,728.35 and 14,891.54

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Solution

The fourth proportional to 51,827.54, 77,728.35 and 14,891.54 is: 22,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,827.54 : 77,728.35 = 14,891.54 : x
  2. Step 2: Convert to fraction form
    51,827.54/77,728.35 = 14,891.54/x
  3. Step 3: Cross multiply
    51,827.54x = 77,728.35 × 14,891.54
  4. Step 4: Simplify right side
    51,827.54x = 1,157,494,833.16
  5. Step 5: Solve for x
    x = 1,157,494,833.16/51,827.54
  6. Step 6: Final answer
    x = 22,333.59

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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.