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Finding the Fourth Proportional to 82,223.30, 123,321.04 and 23,045.35

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Solution

The fourth proportional to 82,223.30, 123,321.04 and 23,045.35 is: 34,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,223.30 : 123,321.04 = 23,045.35 : x
  2. Step 2: Convert to fraction form
    82,223.30/123,321.04 = 23,045.35/x
  3. Step 3: Cross multiply
    82,223.30x = 123,321.04 × 23,045.35
  4. Step 4: Simplify right side
    82,223.30x = 2,841,976,529.16
  5. Step 5: Solve for x
    x = 2,841,976,529.16/82,223.30
  6. Step 6: Final answer
    x = 34,564.13

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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.