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Finding the Fourth Proportional to 78,270, 117,380.36 and 25,667.26

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Solution

The fourth proportional to 78,270, 117,380.36 and 25,667.26 is: 38,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270 : 117,380.36 = 25,667.26 : x
  2. Step 2: Convert to fraction form
    78,270/117,380.36 = 25,667.26/x
  3. Step 3: Cross multiply
    78,270x = 117,380.36 × 25,667.26
  4. Step 4: Simplify right side
    78,270x = 3,012,832,219.01
  5. Step 5: Solve for x
    x = 3,012,832,219.01/78,270
  6. Step 6: Final answer
    x = 38,492.81

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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.