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Finding the Fourth Proportional to 82,614.87, 113,998.44 and 46,307.94

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Solution

The fourth proportional to 82,614.87, 113,998.44 and 46,307.94 is: 63,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,614.87 : 113,998.44 = 46,307.94 : x
  2. Step 2: Convert to fraction form
    82,614.87/113,998.44 = 46,307.94/x
  3. Step 3: Cross multiply
    82,614.87x = 113,998.44 × 46,307.94
  4. Step 4: Simplify right side
    82,614.87x = 5,279,032,879.52
  5. Step 5: Solve for x
    x = 5,279,032,879.52/82,614.87
  6. Step 6: Final answer
    x = 63,899.30

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1.5x scale

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.