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Finding the Fourth Proportional to 30,496.96, 45,723.84 and 11,761.12

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Solution

The fourth proportional to 30,496.96, 45,723.84 and 11,761.12 is: 17,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.96 : 45,723.84 = 11,761.12 : x
  2. Step 2: Convert to fraction form
    30,496.96/45,723.84 = 11,761.12/x
  3. Step 3: Cross multiply
    30,496.96x = 45,723.84 × 11,761.12
  4. Step 4: Simplify right side
    30,496.96x = 537,763,569.10
  5. Step 5: Solve for x
    x = 537,763,569.10/30,496.96
  6. Step 6: Final answer
    x = 17,633.35

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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.