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Finding the Fourth Proportional to 30,462.75, 42,040.22 and 17,033.18

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Solution

The fourth proportional to 30,462.75, 42,040.22 and 17,033.18 is: 23,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.75 : 42,040.22 = 17,033.18 : x
  2. Step 2: Convert to fraction form
    30,462.75/42,040.22 = 17,033.18/x
  3. Step 3: Cross multiply
    30,462.75x = 42,040.22 × 17,033.18
  4. Step 4: Simplify right side
    30,462.75x = 716,078,339.13
  5. Step 5: Solve for x
    x = 716,078,339.13/30,462.75
  6. Step 6: Final answer
    x = 23,506.69

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1.5x scale

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.