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Finding the Fourth Proportional to 51,806.93, 77,714.78 and 14,367.02

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Solution

The fourth proportional to 51,806.93, 77,714.78 and 14,367.02 is: 21,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.93 : 77,714.78 = 14,367.02 : x
  2. Step 2: Convert to fraction form
    51,806.93/77,714.78 = 14,367.02/x
  3. Step 3: Cross multiply
    51,806.93x = 77,714.78 × 14,367.02
  4. Step 4: Simplify right side
    51,806.93x = 1,116,529,338.15
  5. Step 5: Solve for x
    x = 1,116,529,338.15/51,806.93
  6. Step 6: Final answer
    x = 21,551.74

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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.