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Finding the Fourth Proportional to 61,978.96, 85,530.49 and 33,684.85

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Solution

The fourth proportional to 61,978.96, 85,530.49 and 33,684.85 is: 46,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,978.96 : 85,530.49 = 33,684.85 : x
  2. Step 2: Convert to fraction form
    61,978.96/85,530.49 = 33,684.85/x
  3. Step 3: Cross multiply
    61,978.96x = 85,530.49 × 33,684.85
  4. Step 4: Simplify right side
    61,978.96x = 2,881,081,726.08
  5. Step 5: Solve for x
    x = 2,881,081,726.08/61,978.96
  6. Step 6: Final answer
    x = 46,484.83

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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.