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Finding the Fourth Proportional to 53,500.48, 80,258.16 and 22,328.56

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Solution

The fourth proportional to 53,500.48, 80,258.16 and 22,328.56 is: 33,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,500.48 : 80,258.16 = 22,328.56 : x
  2. Step 2: Convert to fraction form
    53,500.48/80,258.16 = 22,328.56/x
  3. Step 3: Cross multiply
    53,500.48x = 80,258.16 × 22,328.56
  4. Step 4: Simplify right side
    53,500.48x = 1,792,049,141.05
  5. Step 5: Solve for x
    x = 1,792,049,141.05/53,500.48
  6. Step 6: Final answer
    x = 33,495.95

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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.