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Finding the Fourth Proportional to 30,530.45, 42,131.77 and 17,101.83

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Solution

The fourth proportional to 30,530.45, 42,131.77 and 17,101.83 is: 23,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.45 : 42,131.77 = 17,101.83 : x
  2. Step 2: Convert to fraction form
    30,530.45/42,131.77 = 17,101.83/x
  3. Step 3: Cross multiply
    30,530.45x = 42,131.77 × 17,101.83
  4. Step 4: Simplify right side
    30,530.45x = 720,530,368.14
  5. Step 5: Solve for x
    x = 720,530,368.14/30,530.45
  6. Step 6: Final answer
    x = 23,600.38

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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.