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Finding the Fourth Proportional to 82,847.70, 124,271.55 and 32,911.20

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Solution

The fourth proportional to 82,847.70, 124,271.55 and 32,911.20 is: 49,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,847.70 : 124,271.55 = 32,911.20 : x
  2. Step 2: Convert to fraction form
    82,847.70/124,271.55 = 32,911.20/x
  3. Step 3: Cross multiply
    82,847.70x = 124,271.55 × 32,911.20
  4. Step 4: Simplify right side
    82,847.70x = 4,089,925,836.36
  5. Step 5: Solve for x
    x = 4,089,925,836.36/82,847.70
  6. Step 6: Final answer
    x = 49,366.80

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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.