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Finding the Fourth Proportional to 30,828.37, 46,231.60 and 11,101.63

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Solution

The fourth proportional to 30,828.37, 46,231.60 and 11,101.63 is: 16,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.37 : 46,231.60 = 11,101.63 : x
  2. Step 2: Convert to fraction form
    30,828.37/46,231.60 = 11,101.63/x
  3. Step 3: Cross multiply
    30,828.37x = 46,231.60 × 11,101.63
  4. Step 4: Simplify right side
    30,828.37x = 513,246,117.51
  5. Step 5: Solve for x
    x = 513,246,117.51/30,828.37
  6. Step 6: Final answer
    x = 16,648.50

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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.