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Finding the Fourth Proportional to 51,400.26, 77,080.95 and 20,218.50

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Solution

The fourth proportional to 51,400.26, 77,080.95 and 20,218.50 is: 30,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,400.26 : 77,080.95 = 20,218.50 : x
  2. Step 2: Convert to fraction form
    51,400.26/77,080.95 = 20,218.50/x
  3. Step 3: Cross multiply
    51,400.26x = 77,080.95 × 20,218.50
  4. Step 4: Simplify right side
    51,400.26x = 1,558,461,187.58
  5. Step 5: Solve for x
    x = 1,558,461,187.58/51,400.26
  6. Step 6: Final answer
    x = 30,320.10

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