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Finding the Fourth Proportional to 82,467.69, 123,721.68 and 26,307.80

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Solution

The fourth proportional to 82,467.69, 123,721.68 and 26,307.80 is: 39,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,467.69 : 123,721.68 = 26,307.80 : x
  2. Step 2: Convert to fraction form
    82,467.69/123,721.68 = 26,307.80/x
  3. Step 3: Cross multiply
    82,467.69x = 123,721.68 × 26,307.80
  4. Step 4: Simplify right side
    82,467.69x = 3,254,844,594.50
  5. Step 5: Solve for x
    x = 3,254,844,594.50/82,467.69
  6. Step 6: Final answer
    x = 39,468.12

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