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Finding the Fourth Proportional to 78,181.96, 117,248.64 and 25,579.75

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Solution

The fourth proportional to 78,181.96, 117,248.64 and 25,579.75 is: 38,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,181.96 : 117,248.64 = 25,579.75 : x
  2. Step 2: Convert to fraction form
    78,181.96/117,248.64 = 25,579.75/x
  3. Step 3: Cross multiply
    78,181.96x = 117,248.64 × 25,579.75
  4. Step 4: Simplify right side
    78,181.96x = 2,999,190,899.04
  5. Step 5: Solve for x
    x = 2,999,190,899.04/78,181.96
  6. Step 6: Final answer
    x = 38,361.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.