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Finding the Fourth Proportional to 82,014.16, 113,179.04 and 46,215.70

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Solution

The fourth proportional to 82,014.16, 113,179.04 and 46,215.70 is: 63,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014.16 : 113,179.04 = 46,215.70 : x
  2. Step 2: Convert to fraction form
    82,014.16/113,179.04 = 46,215.70/x
  3. Step 3: Cross multiply
    82,014.16x = 113,179.04 × 46,215.70
  4. Step 4: Simplify right side
    82,014.16x = 5,230,648,558.93
  5. Step 5: Solve for x
    x = 5,230,648,558.93/82,014.16
  6. Step 6: Final answer
    x = 63,777.38

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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.