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Finding the Fourth Proportional to 30,052.90, 41,472.75 and 16,624

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Solution

The fourth proportional to 30,052.90, 41,472.75 and 16,624 is: 22,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,052.90 : 41,472.75 = 16,624 : x
  2. Step 2: Convert to fraction form
    30,052.90/41,472.75 = 16,624/x
  3. Step 3: Cross multiply
    30,052.90x = 41,472.75 × 16,624
  4. Step 4: Simplify right side
    30,052.90x = 689,442,996
  5. Step 5: Solve for x
    x = 689,442,996/30,052.90
  6. Step 6: Final answer
    x = 22,940.98

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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.