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Finding the Fourth Proportional to 49,680, 74,541.60 and 24,744.96

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Solution

The fourth proportional to 49,680, 74,541.60 and 24,744.96 is: 37,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,680 : 74,541.60 = 24,744.96 : x
  2. Step 2: Convert to fraction form
    49,680/74,541.60 = 24,744.96/x
  3. Step 3: Cross multiply
    49,680x = 74,541.60 × 24,744.96
  4. Step 4: Simplify right side
    49,680x = 1,844,528,910.34
  5. Step 5: Solve for x
    x = 1,844,528,910.34/49,680
  6. Step 6: Final answer
    x = 37,128.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.