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Finding the Fourth Proportional to 49,522.76, 74,232 and 16,234.16

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Solution

The fourth proportional to 49,522.76, 74,232 and 16,234.16 is: 24,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,522.76 : 74,232 = 16,234.16 : x
  2. Step 2: Convert to fraction form
    49,522.76/74,232 = 16,234.16/x
  3. Step 3: Cross multiply
    49,522.76x = 74,232 × 16,234.16
  4. Step 4: Simplify right side
    49,522.76x = 1,205,094,165.12
  5. Step 5: Solve for x
    x = 1,205,094,165.12/49,522.76
  6. Step 6: Final answer
    x = 24,334.15

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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.