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Finding the Fourth Proportional to 64,832, 89,476.08 and 36,542.84

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Solution

The fourth proportional to 64,832, 89,476.08 and 36,542.84 is: 50,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,832 : 89,476.08 = 36,542.84 : x
  2. Step 2: Convert to fraction form
    64,832/89,476.08 = 36,542.84/x
  3. Step 3: Cross multiply
    64,832x = 89,476.08 × 36,542.84
  4. Step 4: Simplify right side
    64,832x = 3,269,710,075.27
  5. Step 5: Solve for x
    x = 3,269,710,075.27/64,832
  6. Step 6: Final answer
    x = 50,433.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.