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Finding the Fourth Proportional to 53,861.60, 74,338.08 and 34,736

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Solution

The fourth proportional to 53,861.60, 74,338.08 and 34,736 is: 47,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,861.60 : 74,338.08 = 34,736 : x
  2. Step 2: Convert to fraction form
    53,861.60/74,338.08 = 34,736/x
  3. Step 3: Cross multiply
    53,861.60x = 74,338.08 × 34,736
  4. Step 4: Simplify right side
    53,861.60x = 2,582,207,546.88
  5. Step 5: Solve for x
    x = 2,582,207,546.88/53,861.60
  6. Step 6: Final answer
    x = 47,941.53

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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.