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Finding the Fourth Proportional to 30,201, 41,677.38 and 17,625.84

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Solution

The fourth proportional to 30,201, 41,677.38 and 17,625.84 is: 24,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201 : 41,677.38 = 17,625.84 : x
  2. Step 2: Convert to fraction form
    30,201/41,677.38 = 17,625.84/x
  3. Step 3: Cross multiply
    30,201x = 41,677.38 × 17,625.84
  4. Step 4: Simplify right side
    30,201x = 734,598,831.50
  5. Step 5: Solve for x
    x = 734,598,831.50/30,201
  6. Step 6: Final answer
    x = 24,323.66

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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.