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Finding the Fourth Proportional to 51,806.80, 77,710.20 and 14,366.80

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Solution

The fourth proportional to 51,806.80, 77,710.20 and 14,366.80 is: 21,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.80 : 77,710.20 = 14,366.80 : x
  2. Step 2: Convert to fraction form
    51,806.80/77,710.20 = 14,366.80/x
  3. Step 3: Cross multiply
    51,806.80x = 77,710.20 × 14,366.80
  4. Step 4: Simplify right side
    51,806.80x = 1,116,446,901.36
  5. Step 5: Solve for x
    x = 1,116,446,901.36/51,806.80
  6. Step 6: Final answer
    x = 21,550.20

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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.