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Finding the Fourth Proportional to 62,064.12, 85,648.84 and 33,770

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Solution

The fourth proportional to 62,064.12, 85,648.84 and 33,770 is: 46,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,064.12 : 85,648.84 = 33,770 : x
  2. Step 2: Convert to fraction form
    62,064.12/85,648.84 = 33,770/x
  3. Step 3: Cross multiply
    62,064.12x = 85,648.84 × 33,770
  4. Step 4: Simplify right side
    62,064.12x = 2,892,361,326.80
  5. Step 5: Solve for x
    x = 2,892,361,326.80/62,064.12
  6. Step 6: Final answer
    x = 46,602.79

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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.