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Finding the Fourth Proportional to 46,298, 69,458.64 and 13,466

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Solution

The fourth proportional to 46,298, 69,458.64 and 13,466 is: 20,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,298 : 69,458.64 = 13,466 : x
  2. Step 2: Convert to fraction form
    46,298/69,458.64 = 13,466/x
  3. Step 3: Cross multiply
    46,298x = 69,458.64 × 13,466
  4. Step 4: Simplify right side
    46,298x = 935,330,046.24
  5. Step 5: Solve for x
    x = 935,330,046.24/46,298
  6. Step 6: Final answer
    x = 20,202.39

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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.