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Finding the Fourth Proportional to 82,533.92, 123,788.80 and 26,380.32

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Solution

The fourth proportional to 82,533.92, 123,788.80 and 26,380.32 is: 39,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,533.92 : 123,788.80 = 26,380.32 : x
  2. Step 2: Convert to fraction form
    82,533.92/123,788.80 = 26,380.32/x
  3. Step 3: Cross multiply
    82,533.92x = 123,788.80 × 26,380.32
  4. Step 4: Simplify right side
    82,533.92x = 3,265,588,156.42
  5. Step 5: Solve for x
    x = 3,265,588,156.42/82,533.92
  6. Step 6: Final answer
    x = 39,566.62

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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.