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Finding the Fourth Proportional to 55,219.80, 82,829.70 and 31,527.30

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Solution

The fourth proportional to 55,219.80, 82,829.70 and 31,527.30 is: 47,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,219.80 : 82,829.70 = 31,527.30 : x
  2. Step 2: Convert to fraction form
    55,219.80/82,829.70 = 31,527.30/x
  3. Step 3: Cross multiply
    55,219.80x = 82,829.70 × 31,527.30
  4. Step 4: Simplify right side
    55,219.80x = 2,611,396,800.81
  5. Step 5: Solve for x
    x = 2,611,396,800.81/55,219.80
  6. Step 6: Final answer
    x = 47,290.95

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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.