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Finding the Fourth Proportional to 51,927.76, 77,891.62 and 12,484.86

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Solution

The fourth proportional to 51,927.76, 77,891.62 and 12,484.86 is: 18,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,927.76 : 77,891.62 = 12,484.86 : x
  2. Step 2: Convert to fraction form
    51,927.76/77,891.62 = 12,484.86/x
  3. Step 3: Cross multiply
    51,927.76x = 77,891.62 × 12,484.86
  4. Step 4: Simplify right side
    51,927.76x = 972,465,970.87
  5. Step 5: Solve for x
    x = 972,465,970.87/51,927.76
  6. Step 6: Final answer
    x = 18,727.29

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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.