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Finding the Fourth Proportional to 86,926.08, 130,382.64 and 27,768

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Solution

The fourth proportional to 86,926.08, 130,382.64 and 27,768 is: 41,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,926.08 : 130,382.64 = 27,768 : x
  2. Step 2: Convert to fraction form
    86,926.08/130,382.64 = 27,768/x
  3. Step 3: Cross multiply
    86,926.08x = 130,382.64 × 27,768
  4. Step 4: Simplify right side
    86,926.08x = 3,620,465,147.52
  5. Step 5: Solve for x
    x = 3,620,465,147.52/86,926.08
  6. Step 6: Final answer
    x = 41,649.93

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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.