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Finding the Fourth Proportional to 82,586.78, 113,977.74 and 46,294.37

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Solution

The fourth proportional to 82,586.78, 113,977.74 and 46,294.37 is: 63,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,586.78 : 113,977.74 = 46,294.37 : x
  2. Step 2: Convert to fraction form
    82,586.78/113,977.74 = 46,294.37/x
  3. Step 3: Cross multiply
    82,586.78x = 113,977.74 × 46,294.37
  4. Step 4: Simplify right side
    82,586.78x = 5,276,527,564.96
  5. Step 5: Solve for x
    x = 5,276,527,564.96/82,586.78
  6. Step 6: Final answer
    x = 63,890.70

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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.