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Finding the Fourth Proportional to 53,645.36, 74,024.28 and 29,766.32

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Solution

The fourth proportional to 53,645.36, 74,024.28 and 29,766.32 is: 41,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,645.36 : 74,024.28 = 29,766.32 : x
  2. Step 2: Convert to fraction form
    53,645.36/74,024.28 = 29,766.32/x
  3. Step 3: Cross multiply
    53,645.36x = 74,024.28 × 29,766.32
  4. Step 4: Simplify right side
    53,645.36x = 2,203,430,406.25
  5. Step 5: Solve for x
    x = 2,203,430,406.25/53,645.36
  6. Step 6: Final answer
    x = 41,074.02

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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.