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Finding the Fourth Proportional to 30,173.06, 41,638.02 and 17,597

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Solution

The fourth proportional to 30,173.06, 41,638.02 and 17,597 is: 24,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,173.06 : 41,638.02 = 17,597 : x
  2. Step 2: Convert to fraction form
    30,173.06/41,638.02 = 17,597/x
  3. Step 3: Cross multiply
    30,173.06x = 41,638.02 × 17,597
  4. Step 4: Simplify right side
    30,173.06x = 732,704,237.94
  5. Step 5: Solve for x
    x = 732,704,237.94/30,173.06
  6. Step 6: Final answer
    x = 24,283.39

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1.5x scale

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.