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Finding the Fourth Proportional to 82,368.62, 123,411.74 and 55,300.26

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Solution

The fourth proportional to 82,368.62, 123,411.74 and 55,300.26 is: 82,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368.62 : 123,411.74 = 55,300.26 : x
  2. Step 2: Convert to fraction form
    82,368.62/123,411.74 = 55,300.26/x
  3. Step 3: Cross multiply
    82,368.62x = 123,411.74 × 55,300.26
  4. Step 4: Simplify right side
    82,368.62x = 6,824,701,309.05
  5. Step 5: Solve for x
    x = 6,824,701,309.05/82,368.62
  6. Step 6: Final answer
    x = 82,855.60

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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.