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Finding the Fourth Proportional to 29,738.40, 44,569.80 and 12,188.40

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Solution

The fourth proportional to 29,738.40, 44,569.80 and 12,188.40 is: 18,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.40 : 44,569.80 = 12,188.40 : x
  2. Step 2: Convert to fraction form
    29,738.40/44,569.80 = 12,188.40/x
  3. Step 3: Cross multiply
    29,738.40x = 44,569.80 × 12,188.40
  4. Step 4: Simplify right side
    29,738.40x = 543,234,550.32
  5. Step 5: Solve for x
    x = 543,234,550.32/29,738.40
  6. Step 6: Final answer
    x = 18,267.11

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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.