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Finding the Fourth Proportional to 53,842.50, 74,302.65 and 31,486.50

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Solution

The fourth proportional to 53,842.50, 74,302.65 and 31,486.50 is: 43,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.50 : 74,302.65 = 31,486.50 : x
  2. Step 2: Convert to fraction form
    53,842.50/74,302.65 = 31,486.50/x
  3. Step 3: Cross multiply
    53,842.50x = 74,302.65 × 31,486.50
  4. Step 4: Simplify right side
    53,842.50x = 2,339,530,389.23
  5. Step 5: Solve for x
    x = 2,339,530,389.23/53,842.50
  6. Step 6: Final answer
    x = 43,451.37

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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.