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Finding the Fourth Proportional to 30,941.48, 42,698.10 and 16,794.02

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Solution

The fourth proportional to 30,941.48, 42,698.10 and 16,794.02 is: 23,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.48 : 42,698.10 = 16,794.02 : x
  2. Step 2: Convert to fraction form
    30,941.48/42,698.10 = 16,794.02/x
  3. Step 3: Cross multiply
    30,941.48x = 42,698.10 × 16,794.02
  4. Step 4: Simplify right side
    30,941.48x = 717,072,915.08
  5. Step 5: Solve for x
    x = 717,072,915.08/30,941.48
  6. Step 6: Final answer
    x = 23,175.13

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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.