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Finding the Fourth Proportional to 53,638.46, 74,021.88 and 29,766.68

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Solution

The fourth proportional to 53,638.46, 74,021.88 and 29,766.68 is: 41,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,638.46 : 74,021.88 = 29,766.68 : x
  2. Step 2: Convert to fraction form
    53,638.46/74,021.88 = 29,766.68/x
  3. Step 3: Cross multiply
    53,638.46x = 74,021.88 × 29,766.68
  4. Step 4: Simplify right side
    53,638.46x = 2,203,385,096.02
  5. Step 5: Solve for x
    x = 2,203,385,096.02/53,638.46
  6. Step 6: Final answer
    x = 41,078.46

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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.