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Finding the Fourth Proportional to 82,041.20, 123,025.80 and 37,653.20

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Solution

The fourth proportional to 82,041.20, 123,025.80 and 37,653.20 is: 56,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.20 : 123,025.80 = 37,653.20 : x
  2. Step 2: Convert to fraction form
    82,041.20/123,025.80 = 37,653.20/x
  3. Step 3: Cross multiply
    82,041.20x = 123,025.80 × 37,653.20
  4. Step 4: Simplify right side
    82,041.20x = 4,632,315,052.56
  5. Step 5: Solve for x
    x = 4,632,315,052.56/82,041.20
  6. Step 6: Final answer
    x = 56,463.28

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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.