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Finding the Fourth Proportional to 46,310, 69,468.24 and 18,608

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Solution

The fourth proportional to 46,310, 69,468.24 and 18,608 is: 27,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,310 : 69,468.24 = 18,608 : x
  2. Step 2: Convert to fraction form
    46,310/69,468.24 = 18,608/x
  3. Step 3: Cross multiply
    46,310x = 69,468.24 × 18,608
  4. Step 4: Simplify right side
    46,310x = 1,292,665,009.92
  5. Step 5: Solve for x
    x = 1,292,665,009.92/46,310
  6. Step 6: Final answer
    x = 27,913.30

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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.