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Finding the Fourth Proportional to 97,114.75, 145,672.17 and 26,994.67

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Solution

The fourth proportional to 97,114.75, 145,672.17 and 26,994.67 is: 40,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,114.75 : 145,672.17 = 26,994.67 : x
  2. Step 2: Convert to fraction form
    97,114.75/145,672.17 = 26,994.67/x
  3. Step 3: Cross multiply
    97,114.75x = 145,672.17 × 26,994.67
  4. Step 4: Simplify right side
    97,114.75x = 3,932,372,157.33
  5. Step 5: Solve for x
    x = 3,932,372,157.33/97,114.75
  6. Step 6: Final answer
    x = 40,492.02

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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.