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Finding the Fourth Proportional to 46,170, 69,258.24 and 18,468

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Solution

The fourth proportional to 46,170, 69,258.24 and 18,468 is: 27,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170 : 69,258.24 = 18,468 : x
  2. Step 2: Convert to fraction form
    46,170/69,258.24 = 18,468/x
  3. Step 3: Cross multiply
    46,170x = 69,258.24 × 18,468
  4. Step 4: Simplify right side
    46,170x = 1,279,061,176.32
  5. Step 5: Solve for x
    x = 1,279,061,176.32/46,170
  6. Step 6: Final answer
    x = 27,703.30

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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.