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Finding the Fourth Proportional to 61,106.94, 84,330.72 and 34,255.44

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Solution

The fourth proportional to 61,106.94, 84,330.72 and 34,255.44 is: 47,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,106.94 : 84,330.72 = 34,255.44 : x
  2. Step 2: Convert to fraction form
    61,106.94/84,330.72 = 34,255.44/x
  3. Step 3: Cross multiply
    61,106.94x = 84,330.72 × 34,255.44
  4. Step 4: Simplify right side
    61,106.94x = 2,888,785,919.12
  5. Step 5: Solve for x
    x = 2,888,785,919.12/61,106.94
  6. Step 6: Final answer
    x = 47,274.27

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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.