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Finding the Fourth Proportional to 30,530.94, 42,131.54 and 17,101.54

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Solution

The fourth proportional to 30,530.94, 42,131.54 and 17,101.54 is: 23,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.94 : 42,131.54 = 17,101.54 : x
  2. Step 2: Convert to fraction form
    30,530.94/42,131.54 = 17,101.54/x
  3. Step 3: Cross multiply
    30,530.94x = 42,131.54 × 17,101.54
  4. Step 4: Simplify right side
    30,530.94x = 720,514,216.57
  5. Step 5: Solve for x
    x = 720,514,216.57/30,530.94
  6. Step 6: Final answer
    x = 23,599.48

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