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Finding the Fourth Proportional to 36,976, 51,009.04 and 24,223.64

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Solution

The fourth proportional to 36,976, 51,009.04 and 24,223.64 is: 33,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976 : 51,009.04 = 24,223.64 : x
  2. Step 2: Convert to fraction form
    36,976/51,009.04 = 24,223.64/x
  3. Step 3: Cross multiply
    36,976x = 51,009.04 × 24,223.64
  4. Step 4: Simplify right side
    36,976x = 1,235,624,621.71
  5. Step 5: Solve for x
    x = 1,235,624,621.71/36,976
  6. Step 6: Final answer
    x = 33,416.94

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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.