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Finding the Fourth Proportional to 30,682.40, 45,999.30 and 16,831.40

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Solution

The fourth proportional to 30,682.40, 45,999.30 and 16,831.40 is: 25,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.40 : 45,999.30 = 16,831.40 : x
  2. Step 2: Convert to fraction form
    30,682.40/45,999.30 = 16,831.40/x
  3. Step 3: Cross multiply
    30,682.40x = 45,999.30 × 16,831.40
  4. Step 4: Simplify right side
    30,682.40x = 774,232,618.02
  5. Step 5: Solve for x
    x = 774,232,618.02/30,682.40
  6. Step 6: Final answer
    x = 25,233.77

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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.