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Finding the Fourth Proportional to 78,344.64, 117,492.03 and 25,741.98

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Solution

The fourth proportional to 78,344.64, 117,492.03 and 25,741.98 is: 38,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,344.64 : 117,492.03 = 25,741.98 : x
  2. Step 2: Convert to fraction form
    78,344.64/117,492.03 = 25,741.98/x
  3. Step 3: Cross multiply
    78,344.64x = 117,492.03 × 25,741.98
  4. Step 4: Simplify right side
    78,344.64x = 3,024,477,486.42
  5. Step 5: Solve for x
    x = 3,024,477,486.42/78,344.64
  6. Step 6: Final answer
    x = 38,604.78

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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.