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Finding the Fourth Proportional to 101,729.40, 152,486.10 and 49,104.60

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Solution

The fourth proportional to 101,729.40, 152,486.10 and 49,104.60 is: 73,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,729.40 : 152,486.10 = 49,104.60 : x
  2. Step 2: Convert to fraction form
    101,729.40/152,486.10 = 49,104.60/x
  3. Step 3: Cross multiply
    101,729.40x = 152,486.10 × 49,104.60
  4. Step 4: Simplify right side
    101,729.40x = 7,487,768,946.06
  5. Step 5: Solve for x
    x = 7,487,768,946.06/101,729.40
  6. Step 6: Final answer
    x = 73,604.77

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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.