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Finding the Fourth Proportional to 82,476.99, 123,706.58 and 55,993.23

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Solution

The fourth proportional to 82,476.99, 123,706.58 and 55,993.23 is: 83,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,476.99 : 123,706.58 = 55,993.23 : x
  2. Step 2: Convert to fraction form
    82,476.99/123,706.58 = 55,993.23/x
  3. Step 3: Cross multiply
    82,476.99x = 123,706.58 × 55,993.23
  4. Step 4: Simplify right side
    82,476.99x = 6,926,730,706.49
  5. Step 5: Solve for x
    x = 6,926,730,706.49/82,476.99
  6. Step 6: Final answer
    x = 83,983.80

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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.