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Finding the Fourth Proportional to 78,412.20, 117,618.30 and 25,823.40

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Solution

The fourth proportional to 78,412.20, 117,618.30 and 25,823.40 is: 38,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.20 : 117,618.30 = 25,823.40 : x
  2. Step 2: Convert to fraction form
    78,412.20/117,618.30 = 25,823.40/x
  3. Step 3: Cross multiply
    78,412.20x = 117,618.30 × 25,823.40
  4. Step 4: Simplify right side
    78,412.20x = 3,037,304,408.22
  5. Step 5: Solve for x
    x = 3,037,304,408.22/78,412.20
  6. Step 6: Final answer
    x = 38,735.10

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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.