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Finding the Fourth Proportional to 30,530.01, 42,131.19 and 17,101.38

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Solution

The fourth proportional to 30,530.01, 42,131.19 and 17,101.38 is: 23,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.01 : 42,131.19 = 17,101.38 : x
  2. Step 2: Convert to fraction form
    30,530.01/42,131.19 = 17,101.38/x
  3. Step 3: Cross multiply
    30,530.01x = 42,131.19 × 17,101.38
  4. Step 4: Simplify right side
    30,530.01x = 720,501,378.98
  5. Step 5: Solve for x
    x = 720,501,378.98/30,530.01
  6. Step 6: Final answer
    x = 23,599.77

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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.