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Finding the Fourth Proportional to 73,971.97, 110,928.76 and 31,855.21

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Solution

The fourth proportional to 73,971.97, 110,928.76 and 31,855.21 is: 47,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971.97 : 110,928.76 = 31,855.21 : x
  2. Step 2: Convert to fraction form
    73,971.97/110,928.76 = 31,855.21/x
  3. Step 3: Cross multiply
    73,971.97x = 110,928.76 × 31,855.21
  4. Step 4: Simplify right side
    73,971.97x = 3,533,658,587.88
  5. Step 5: Solve for x
    x = 3,533,658,587.88/73,971.97
  6. Step 6: Final answer
    x = 47,770.24

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1.5x scale

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.