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Finding the Fourth Proportional to 82,665.92, 114,083.49 and 46,378.87

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Solution

The fourth proportional to 82,665.92, 114,083.49 and 46,378.87 is: 64,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,665.92 : 114,083.49 = 46,378.87 : x
  2. Step 2: Convert to fraction form
    82,665.92/114,083.49 = 46,378.87/x
  3. Step 3: Cross multiply
    82,665.92x = 114,083.49 × 46,378.87
  4. Step 4: Simplify right side
    82,665.92x = 5,291,063,240.57
  5. Step 5: Solve for x
    x = 5,291,063,240.57/82,665.92
  6. Step 6: Final answer
    x = 64,005.37

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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.