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Finding the Fourth Proportional to 53,978.74, 74,504.00 and 36,779.54

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Solution

The fourth proportional to 53,978.74, 74,504.00 and 36,779.54 is: 50,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.74 : 74,504.00 = 36,779.54 : x
  2. Step 2: Convert to fraction form
    53,978.74/74,504.00 = 36,779.54/x
  3. Step 3: Cross multiply
    53,978.74x = 74,504.00 × 36,779.54
  4. Step 4: Simplify right side
    53,978.74x = 2,740,222,567.59
  5. Step 5: Solve for x
    x = 2,740,222,567.59/53,978.74
  6. Step 6: Final answer
    x = 50,764.85

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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.