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Finding the Fourth Proportional to 53,636.96, 74,013 and 29,764.64

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Solution

The fourth proportional to 53,636.96, 74,013 and 29,764.64 is: 41,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,636.96 : 74,013 = 29,764.64 : x
  2. Step 2: Convert to fraction form
    53,636.96/74,013 = 29,764.64/x
  3. Step 3: Cross multiply
    53,636.96x = 74,013 × 29,764.64
  4. Step 4: Simplify right side
    53,636.96x = 2,202,970,300.32
  5. Step 5: Solve for x
    x = 2,202,970,300.32/53,636.96
  6. Step 6: Final answer
    x = 41,071.87

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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.