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Finding the Fourth Proportional to 51,854.94, 77,716.80 and 33,127.74

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Solution

The fourth proportional to 51,854.94, 77,716.80 and 33,127.74 is: 49,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.94 : 77,716.80 = 33,127.74 : x
  2. Step 2: Convert to fraction form
    51,854.94/77,716.80 = 33,127.74/x
  3. Step 3: Cross multiply
    51,854.94x = 77,716.80 × 33,127.74
  4. Step 4: Simplify right side
    51,854.94x = 2,574,581,944.03
  5. Step 5: Solve for x
    x = 2,574,581,944.03/51,854.94
  6. Step 6: Final answer
    x = 49,649.69

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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.