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Finding the Fourth Proportional to 53,657.41, 74,032.22 and 33,534.73

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Solution

The fourth proportional to 53,657.41, 74,032.22 and 33,534.73 is: 46,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,657.41 : 74,032.22 = 33,534.73 : x
  2. Step 2: Convert to fraction form
    53,657.41/74,032.22 = 33,534.73/x
  3. Step 3: Cross multiply
    53,657.41x = 74,032.22 × 33,534.73
  4. Step 4: Simplify right side
    53,657.41x = 2,482,650,777.92
  5. Step 5: Solve for x
    x = 2,482,650,777.92/53,657.41
  6. Step 6: Final answer
    x = 46,268.55

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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.