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Finding the Fourth Proportional to 31,322.40, 47,032.20 and 18,200.40

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Solution

The fourth proportional to 31,322.40, 47,032.20 and 18,200.40 is: 27,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.40 : 47,032.20 = 18,200.40 : x
  2. Step 2: Convert to fraction form
    31,322.40/47,032.20 = 18,200.40/x
  3. Step 3: Cross multiply
    31,322.40x = 47,032.20 × 18,200.40
  4. Step 4: Simplify right side
    31,322.40x = 856,004,852.88
  5. Step 5: Solve for x
    x = 856,004,852.88/31,322.40
  6. Step 6: Final answer
    x = 27,328.84

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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.