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Finding the Fourth Proportional to 82,836.80, 124,271.40 and 35,451.80

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Solution

The fourth proportional to 82,836.80, 124,271.40 and 35,451.80 is: 53,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836.80 : 124,271.40 = 35,451.80 : x
  2. Step 2: Convert to fraction form
    82,836.80/124,271.40 = 35,451.80/x
  3. Step 3: Cross multiply
    82,836.80x = 124,271.40 × 35,451.80
  4. Step 4: Simplify right side
    82,836.80x = 4,405,644,818.52
  5. Step 5: Solve for x
    x = 4,405,644,818.52/82,836.80
  6. Step 6: Final answer
    x = 53,184.63

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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.