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Finding the Fourth Proportional to 29,821.70, 44,738.02 and 12,281.96

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Solution

The fourth proportional to 29,821.70, 44,738.02 and 12,281.96 is: 18,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.70 : 44,738.02 = 12,281.96 : x
  2. Step 2: Convert to fraction form
    29,821.70/44,738.02 = 12,281.96/x
  3. Step 3: Cross multiply
    29,821.70x = 44,738.02 × 12,281.96
  4. Step 4: Simplify right side
    29,821.70x = 549,470,572.12
  5. Step 5: Solve for x
    x = 549,470,572.12/29,821.70
  6. Step 6: Final answer
    x = 18,425.19

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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.