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Finding the Fourth Proportional to 53,677.86, 74,077.76 and 29,804.54

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Solution

The fourth proportional to 53,677.86, 74,077.76 and 29,804.54 is: 41,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,677.86 : 74,077.76 = 29,804.54 : x
  2. Step 2: Convert to fraction form
    53,677.86/74,077.76 = 29,804.54/x
  3. Step 3: Cross multiply
    53,677.86x = 74,077.76 × 29,804.54
  4. Step 4: Simplify right side
    53,677.86x = 2,207,853,041.62
  5. Step 5: Solve for x
    x = 2,207,853,041.62/53,677.86
  6. Step 6: Final answer
    x = 41,131.54

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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.