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Finding the Fourth Proportional to 36,730.32, 50,688.36 and 22,578

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Solution

The fourth proportional to 36,730.32, 50,688.36 and 22,578 is: 31,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,730.32 : 50,688.36 = 22,578 : x
  2. Step 2: Convert to fraction form
    36,730.32/50,688.36 = 22,578/x
  3. Step 3: Cross multiply
    36,730.32x = 50,688.36 × 22,578
  4. Step 4: Simplify right side
    36,730.32x = 1,144,441,792.08
  5. Step 5: Solve for x
    x = 1,144,441,792.08/36,730.32
  6. Step 6: Final answer
    x = 31,157.96

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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.