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Finding the Fourth Proportional to 82,718.94, 124,008.09 and 32,834.22

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Solution

The fourth proportional to 82,718.94, 124,008.09 and 32,834.22 is: 49,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718.94 : 124,008.09 = 32,834.22 : x
  2. Step 2: Convert to fraction form
    82,718.94/124,008.09 = 32,834.22/x
  3. Step 3: Cross multiply
    82,718.94x = 124,008.09 × 32,834.22
  4. Step 4: Simplify right side
    82,718.94x = 4,071,708,908.84
  5. Step 5: Solve for x
    x = 4,071,708,908.84/82,718.94
  6. Step 6: Final answer
    x = 49,223.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.