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Finding the Fourth Proportional to 52,004.70, 78,007.05 and 41,982.30

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Solution

The fourth proportional to 52,004.70, 78,007.05 and 41,982.30 is: 62,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004.70 : 78,007.05 = 41,982.30 : x
  2. Step 2: Convert to fraction form
    52,004.70/78,007.05 = 41,982.30/x
  3. Step 3: Cross multiply
    52,004.70x = 78,007.05 × 41,982.30
  4. Step 4: Simplify right side
    52,004.70x = 3,274,915,375.22
  5. Step 5: Solve for x
    x = 3,274,915,375.22/52,004.70
  6. Step 6: Final answer
    x = 62,973.45

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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.