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Finding the Fourth Proportional to 35,675.34, 53,491.10 and 16,930

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Solution

The fourth proportional to 35,675.34, 53,491.10 and 16,930 is: 25,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.34 : 53,491.10 = 16,930 : x
  2. Step 2: Convert to fraction form
    35,675.34/53,491.10 = 16,930/x
  3. Step 3: Cross multiply
    35,675.34x = 53,491.10 × 16,930
  4. Step 4: Simplify right side
    35,675.34x = 905,604,323
  5. Step 5: Solve for x
    x = 905,604,323/35,675.34
  6. Step 6: Final answer
    x = 25,384.60

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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.