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Finding the Fourth Proportional to 30,682.64, 45,986.27 and 15,883.12

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Solution

The fourth proportional to 30,682.64, 45,986.27 and 15,883.12 is: 23,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.64 : 45,986.27 = 15,883.12 : x
  2. Step 2: Convert to fraction form
    30,682.64/45,986.27 = 15,883.12/x
  3. Step 3: Cross multiply
    30,682.64x = 45,986.27 × 15,883.12
  4. Step 4: Simplify right side
    30,682.64x = 730,405,444.76
  5. Step 5: Solve for x
    x = 730,405,444.76/30,682.64
  6. Step 6: Final answer
    x = 23,805.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.