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Finding the Fourth Proportional to 30,967.60, 42,736.08 and 18,221.68

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Solution

The fourth proportional to 30,967.60, 42,736.08 and 18,221.68 is: 25,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.60 : 42,736.08 = 18,221.68 : x
  2. Step 2: Convert to fraction form
    30,967.60/42,736.08 = 18,221.68/x
  3. Step 3: Cross multiply
    30,967.60x = 42,736.08 × 18,221.68
  4. Step 4: Simplify right side
    30,967.60x = 778,723,174.21
  5. Step 5: Solve for x
    x = 778,723,174.21/30,967.60
  6. Step 6: Final answer
    x = 25,146.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.