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Finding the Fourth Proportional to 82,262.49, 123,384.16 and 23,103.23

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Solution

The fourth proportional to 82,262.49, 123,384.16 and 23,103.23 is: 34,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,262.49 : 123,384.16 = 23,103.23 : x
  2. Step 2: Convert to fraction form
    82,262.49/123,384.16 = 23,103.23/x
  3. Step 3: Cross multiply
    82,262.49x = 123,384.16 × 23,103.23
  4. Step 4: Simplify right side
    82,262.49x = 2,850,572,038.80
  5. Step 5: Solve for x
    x = 2,850,572,038.80/82,262.49
  6. Step 6: Final answer
    x = 34,652.15

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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.