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Finding the Fourth Proportional to 84,186.60, 126,274.94 and 31,591.64

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Solution

The fourth proportional to 84,186.60, 126,274.94 and 31,591.64 is: 47,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,186.60 : 126,274.94 = 31,591.64 : x
  2. Step 2: Convert to fraction form
    84,186.60/126,274.94 = 31,591.64/x
  3. Step 3: Cross multiply
    84,186.60x = 126,274.94 × 31,591.64
  4. Step 4: Simplify right side
    84,186.60x = 3,989,232,445.50
  5. Step 5: Solve for x
    x = 3,989,232,445.50/84,186.60
  6. Step 6: Final answer
    x = 47,385.60

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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.