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Finding the Fourth Proportional to 42,604.84, 63,866.94 and 17,629.30

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Solution

The fourth proportional to 42,604.84, 63,866.94 and 17,629.30 is: 26,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,604.84 : 63,866.94 = 17,629.30 : x
  2. Step 2: Convert to fraction form
    42,604.84/63,866.94 = 17,629.30/x
  3. Step 3: Cross multiply
    42,604.84x = 63,866.94 × 17,629.30
  4. Step 4: Simplify right side
    42,604.84x = 1,125,929,445.34
  5. Step 5: Solve for x
    x = 1,125,929,445.34/42,604.84
  6. Step 6: Final answer
    x = 26,427.27

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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.