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Finding the Fourth Proportional to 82,005.32, 123,026.34 and 25,083.92

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Solution

The fourth proportional to 82,005.32, 123,026.34 and 25,083.92 is: 37,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,005.32 : 123,026.34 = 25,083.92 : x
  2. Step 2: Convert to fraction form
    82,005.32/123,026.34 = 25,083.92/x
  3. Step 3: Cross multiply
    82,005.32x = 123,026.34 × 25,083.92
  4. Step 4: Simplify right side
    82,005.32x = 3,085,982,870.45
  5. Step 5: Solve for x
    x = 3,085,982,870.45/82,005.32
  6. Step 6: Final answer
    x = 37,631.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.