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Finding the Fourth Proportional to 47,680.87, 65,649 and 41,994.67

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Solution

The fourth proportional to 47,680.87, 65,649 and 41,994.67 is: 57,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,680.87 : 65,649 = 41,994.67 : x
  2. Step 2: Convert to fraction form
    47,680.87/65,649 = 41,994.67/x
  3. Step 3: Cross multiply
    47,680.87x = 65,649 × 41,994.67
  4. Step 4: Simplify right side
    47,680.87x = 2,756,908,090.83
  5. Step 5: Solve for x
    x = 2,756,908,090.83/47,680.87
  6. Step 6: Final answer
    x = 57,820.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.