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Finding the Fourth Proportional to 29,667.70, 44,501.46 and 12,137.50

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Solution

The fourth proportional to 29,667.70, 44,501.46 and 12,137.50 is: 18,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,667.70 : 44,501.46 = 12,137.50 : x
  2. Step 2: Convert to fraction form
    29,667.70/44,501.46 = 12,137.50/x
  3. Step 3: Cross multiply
    29,667.70x = 44,501.46 × 12,137.50
  4. Step 4: Simplify right side
    29,667.70x = 540,136,470.75
  5. Step 5: Solve for x
    x = 540,136,470.75/29,667.70
  6. Step 6: Final answer
    x = 18,206.21

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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.