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Finding the Fourth Proportional to 29,820, 41,152.80 and 16,392.48

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Solution

The fourth proportional to 29,820, 41,152.80 and 16,392.48 is: 22,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820 : 41,152.80 = 16,392.48 : x
  2. Step 2: Convert to fraction form
    29,820/41,152.80 = 16,392.48/x
  3. Step 3: Cross multiply
    29,820x = 41,152.80 × 16,392.48
  4. Step 4: Simplify right side
    29,820x = 674,596,450.94
  5. Step 5: Solve for x
    x = 674,596,450.94/29,820
  6. Step 6: Final answer
    x = 22,622.28

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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.