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Finding the Fourth Proportional to 82,211.76, 113,454 and 46,401.84

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Solution

The fourth proportional to 82,211.76, 113,454 and 46,401.84 is: 64,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,211.76 : 113,454 = 46,401.84 : x
  2. Step 2: Convert to fraction form
    82,211.76/113,454 = 46,401.84/x
  3. Step 3: Cross multiply
    82,211.76x = 113,454 × 46,401.84
  4. Step 4: Simplify right side
    82,211.76x = 5,264,474,355.36
  5. Step 5: Solve for x
    x = 5,264,474,355.36/82,211.76
  6. Step 6: Final answer
    x = 64,035.54

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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.