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Finding the Fourth Proportional to 82,573.56, 123,828.64 and 35,158.59

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Solution

The fourth proportional to 82,573.56, 123,828.64 and 35,158.59 is: 52,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,573.56 : 123,828.64 = 35,158.59 : x
  2. Step 2: Convert to fraction form
    82,573.56/123,828.64 = 35,158.59/x
  3. Step 3: Cross multiply
    82,573.56x = 123,828.64 × 35,158.59
  4. Step 4: Simplify right side
    82,573.56x = 4,353,640,384.02
  5. Step 5: Solve for x
    x = 4,353,640,384.02/82,573.56
  6. Step 6: Final answer
    x = 52,724.39

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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.