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Finding the Fourth Proportional to 56,959.94, 78,611.49 and 41,857.76

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Solution

The fourth proportional to 56,959.94, 78,611.49 and 41,857.76 is: 57,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,959.94 : 78,611.49 = 41,857.76 : x
  2. Step 2: Convert to fraction form
    56,959.94/78,611.49 = 41,857.76/x
  3. Step 3: Cross multiply
    56,959.94x = 78,611.49 × 41,857.76
  4. Step 4: Simplify right side
    56,959.94x = 3,290,500,881.66
  5. Step 5: Solve for x
    x = 3,290,500,881.66/56,959.94
  6. Step 6: Final answer
    x = 57,768.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.