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Finding the Fourth Proportional to 82,088, 123,132 and 19,758.50

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Solution

The fourth proportional to 82,088, 123,132 and 19,758.50 is: 29,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,088 : 123,132 = 19,758.50 : x
  2. Step 2: Convert to fraction form
    82,088/123,132 = 19,758.50/x
  3. Step 3: Cross multiply
    82,088x = 123,132 × 19,758.50
  4. Step 4: Simplify right side
    82,088x = 2,432,903,622
  5. Step 5: Solve for x
    x = 2,432,903,622/82,088
  6. Step 6: Final answer
    x = 29,637.75

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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.