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Finding the Fourth Proportional to 30,255.41, 41,754.98 and 16,829.19

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Solution

The fourth proportional to 30,255.41, 41,754.98 and 16,829.19 is: 23,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,255.41 : 41,754.98 = 16,829.19 : x
  2. Step 2: Convert to fraction form
    30,255.41/41,754.98 = 16,829.19/x
  3. Step 3: Cross multiply
    30,255.41x = 41,754.98 × 16,829.19
  4. Step 4: Simplify right side
    30,255.41x = 702,702,407.72
  5. Step 5: Solve for x
    x = 702,702,407.72/30,255.41
  6. Step 6: Final answer
    x = 23,225.68

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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.