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Finding the Fourth Proportional to 64,832, 89,468.16 and 35,024

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Solution

The fourth proportional to 64,832, 89,468.16 and 35,024 is: 48,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,832 : 89,468.16 = 35,024 : x
  2. Step 2: Convert to fraction form
    64,832/89,468.16 = 35,024/x
  3. Step 3: Cross multiply
    64,832x = 89,468.16 × 35,024
  4. Step 4: Simplify right side
    64,832x = 3,133,532,835.84
  5. Step 5: Solve for x
    x = 3,133,532,835.84/64,832
  6. Step 6: Final answer
    x = 48,333.12

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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.