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Finding the Fourth Proportional to 82,015.73, 122,981.03 and 37,604.24

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Solution

The fourth proportional to 82,015.73, 122,981.03 and 37,604.24 is: 56,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015.73 : 122,981.03 = 37,604.24 : x
  2. Step 2: Convert to fraction form
    82,015.73/122,981.03 = 37,604.24/x
  3. Step 3: Cross multiply
    82,015.73x = 122,981.03 × 37,604.24
  4. Step 4: Simplify right side
    82,015.73x = 4,624,608,167.57
  5. Step 5: Solve for x
    x = 4,624,608,167.57/82,015.73
  6. Step 6: Final answer
    x = 56,386.84

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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.