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Finding the Fourth Proportional to 82,533.67, 123,805.76 and 23,374.01

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Solution

The fourth proportional to 82,533.67, 123,805.76 and 23,374.01 is: 35,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,533.67 : 123,805.76 = 23,374.01 : x
  2. Step 2: Convert to fraction form
    82,533.67/123,805.76 = 23,374.01/x
  3. Step 3: Cross multiply
    82,533.67x = 123,805.76 × 23,374.01
  4. Step 4: Simplify right side
    82,533.67x = 2,893,837,072.30
  5. Step 5: Solve for x
    x = 2,893,837,072.30/82,533.67
  6. Step 6: Final answer
    x = 35,062.50

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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.