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Finding the Fourth Proportional to 53,638.32, 74,019.76 and 29,764.80

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Solution

The fourth proportional to 53,638.32, 74,019.76 and 29,764.80 is: 41,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,638.32 : 74,019.76 = 29,764.80 : x
  2. Step 2: Convert to fraction form
    53,638.32/74,019.76 = 29,764.80/x
  3. Step 3: Cross multiply
    53,638.32x = 74,019.76 × 29,764.80
  4. Step 4: Simplify right side
    53,638.32x = 2,203,183,352.45
  5. Step 5: Solve for x
    x = 2,203,183,352.45/53,638.32
  6. Step 6: Final answer
    x = 41,074.80

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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.