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Finding the Fourth Proportional to 84,811.70, 127,343.10 and 47,446.40

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Solution

The fourth proportional to 84,811.70, 127,343.10 and 47,446.40 is: 71,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,811.70 : 127,343.10 = 47,446.40 : x
  2. Step 2: Convert to fraction form
    84,811.70/127,343.10 = 47,446.40/x
  3. Step 3: Cross multiply
    84,811.70x = 127,343.10 × 47,446.40
  4. Step 4: Simplify right side
    84,811.70x = 6,041,971,659.84
  5. Step 5: Solve for x
    x = 6,041,971,659.84/84,811.70
  6. Step 6: Final answer
    x = 71,239.84

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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.