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Finding the Fourth Proportional to 82,657.70, 114,077.24 and 46,369.16

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Solution

The fourth proportional to 82,657.70, 114,077.24 and 46,369.16 is: 63,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,657.70 : 114,077.24 = 46,369.16 : x
  2. Step 2: Convert to fraction form
    82,657.70/114,077.24 = 46,369.16/x
  3. Step 3: Cross multiply
    82,657.70x = 114,077.24 × 46,369.16
  4. Step 4: Simplify right side
    82,657.70x = 5,289,664,991.69
  5. Step 5: Solve for x
    x = 5,289,664,991.69/82,657.70
  6. Step 6: Final answer
    x = 63,994.83

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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.