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Finding the Fourth Proportional to 53,713.34, 74,155.30 and 35,867.42

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Solution

The fourth proportional to 53,713.34, 74,155.30 and 35,867.42 is: 49,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,713.34 : 74,155.30 = 35,867.42 : x
  2. Step 2: Convert to fraction form
    53,713.34/74,155.30 = 35,867.42/x
  3. Step 3: Cross multiply
    53,713.34x = 74,155.30 × 35,867.42
  4. Step 4: Simplify right side
    53,713.34x = 2,659,759,290.33
  5. Step 5: Solve for x
    x = 2,659,759,290.33/53,713.34
  6. Step 6: Final answer
    x = 49,517.67

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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.