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Finding the Fourth Proportional to 39,083.22, 53,973.36 and 37,780.74

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Solution

The fourth proportional to 39,083.22, 53,973.36 and 37,780.74 is: 52,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,083.22 : 53,973.36 = 37,780.74 : x
  2. Step 2: Convert to fraction form
    39,083.22/53,973.36 = 37,780.74/x
  3. Step 3: Cross multiply
    39,083.22x = 53,973.36 × 37,780.74
  4. Step 4: Simplify right side
    39,083.22x = 2,039,153,481.09
  5. Step 5: Solve for x
    x = 2,039,153,481.09/39,083.22
  6. Step 6: Final answer
    x = 52,174.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.