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Finding the Fourth Proportional to 30,994.92, 46,464.03 and 13,458.42

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Solution

The fourth proportional to 30,994.92, 46,464.03 and 13,458.42 is: 20,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.92 : 46,464.03 = 13,458.42 : x
  2. Step 2: Convert to fraction form
    30,994.92/46,464.03 = 13,458.42/x
  3. Step 3: Cross multiply
    30,994.92x = 46,464.03 × 13,458.42
  4. Step 4: Simplify right side
    30,994.92x = 625,332,430.63
  5. Step 5: Solve for x
    x = 625,332,430.63/30,994.92
  6. Step 6: Final answer
    x = 20,175.32

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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.