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Finding the Fourth Proportional to 29,608.04, 44,419 and 9,616

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Solution

The fourth proportional to 29,608.04, 44,419 and 9,616 is: 14,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,608.04 : 44,419 = 9,616 : x
  2. Step 2: Convert to fraction form
    29,608.04/44,419 = 9,616/x
  3. Step 3: Cross multiply
    29,608.04x = 44,419 × 9,616
  4. Step 4: Simplify right side
    29,608.04x = 427,133,104
  5. Step 5: Solve for x
    x = 427,133,104/29,608.04
  6. Step 6: Final answer
    x = 14,426.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.