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Finding the Fourth Proportional to 78,486.33, 117,729.49 and 23,082.33

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Solution

The fourth proportional to 78,486.33, 117,729.49 and 23,082.33 is: 34,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,486.33 : 117,729.49 = 23,082.33 : x
  2. Step 2: Convert to fraction form
    78,486.33/117,729.49 = 23,082.33/x
  3. Step 3: Cross multiply
    78,486.33x = 117,729.49 × 23,082.33
  4. Step 4: Simplify right side
    78,486.33x = 2,717,470,881.21
  5. Step 5: Solve for x
    x = 2,717,470,881.21/78,486.33
  6. Step 6: Final answer
    x = 34,623.49

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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.