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Finding the Fourth Proportional to 30,102.30, 41,540.02 and 16,674.12

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Solution

The fourth proportional to 30,102.30, 41,540.02 and 16,674.12 is: 23,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.30 : 41,540.02 = 16,674.12 : x
  2. Step 2: Convert to fraction form
    30,102.30/41,540.02 = 16,674.12/x
  3. Step 3: Cross multiply
    30,102.30x = 41,540.02 × 16,674.12
  4. Step 4: Simplify right side
    30,102.30x = 692,643,278.28
  5. Step 5: Solve for x
    x = 692,643,278.28/30,102.30
  6. Step 6: Final answer
    x = 23,009.65

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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.