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Finding the Fourth Proportional to 29,441.84, 44,125.32 and 13,838

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Solution

The fourth proportional to 29,441.84, 44,125.32 and 13,838 is: 20,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,441.84 : 44,125.32 = 13,838 : x
  2. Step 2: Convert to fraction form
    29,441.84/44,125.32 = 13,838/x
  3. Step 3: Cross multiply
    29,441.84x = 44,125.32 × 13,838
  4. Step 4: Simplify right side
    29,441.84x = 610,606,178.16
  5. Step 5: Solve for x
    x = 610,606,178.16/29,441.84
  6. Step 6: Final answer
    x = 20,739.40

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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.