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Finding the Fourth Proportional to 62,284, 85,953.74 and 33,991.52

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Solution

The fourth proportional to 62,284, 85,953.74 and 33,991.52 is: 46,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,284 : 85,953.74 = 33,991.52 : x
  2. Step 2: Convert to fraction form
    62,284/85,953.74 = 33,991.52/x
  3. Step 3: Cross multiply
    62,284x = 85,953.74 × 33,991.52
  4. Step 4: Simplify right side
    62,284x = 2,921,698,272.28
  5. Step 5: Solve for x
    x = 2,921,698,272.28/62,284
  6. Step 6: Final answer
    x = 46,909.29

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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.