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Finding the Fourth Proportional to 46,189.44, 69,284.16 and 18,468

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Solution

The fourth proportional to 46,189.44, 69,284.16 and 18,468 is: 27,702

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,189.44 : 69,284.16 = 18,468 : x
  2. Step 2: Convert to fraction form
    46,189.44/69,284.16 = 18,468/x
  3. Step 3: Cross multiply
    46,189.44x = 69,284.16 × 18,468
  4. Step 4: Simplify right side
    46,189.44x = 1,279,539,866.88
  5. Step 5: Solve for x
    x = 1,279,539,866.88/46,189.44
  6. Step 6: Final answer
    x = 27,702

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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.