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Finding the Fourth Proportional to 82,843.65, 114,324.93 and 46,545.84

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Solution

The fourth proportional to 82,843.65, 114,324.93 and 46,545.84 is: 64,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,843.65 : 114,324.93 = 46,545.84 : x
  2. Step 2: Convert to fraction form
    82,843.65/114,324.93 = 46,545.84/x
  3. Step 3: Cross multiply
    82,843.65x = 114,324.93 × 46,545.84
  4. Step 4: Simplify right side
    82,843.65x = 5,321,349,899.79
  5. Step 5: Solve for x
    x = 5,321,349,899.79/82,843.65
  6. Step 6: Final answer
    x = 64,233.65

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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.