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Finding the Fourth Proportional to 73,000, 100,740.24 and 39,466.24

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Solution

The fourth proportional to 73,000, 100,740.24 and 39,466.24 is: 54,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,000 : 100,740.24 = 39,466.24 : x
  2. Step 2: Convert to fraction form
    73,000/100,740.24 = 39,466.24/x
  3. Step 3: Cross multiply
    73,000x = 100,740.24 × 39,466.24
  4. Step 4: Simplify right side
    73,000x = 3,975,838,489.50
  5. Step 5: Solve for x
    x = 3,975,838,489.50/73,000
  6. Step 6: Final answer
    x = 54,463.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.