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Finding the Fourth Proportional to 30,164.10, 41,628.42 and 17,417.82

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Solution

The fourth proportional to 30,164.10, 41,628.42 and 17,417.82 is: 24,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.10 : 41,628.42 = 17,417.82 : x
  2. Step 2: Convert to fraction form
    30,164.10/41,628.42 = 17,417.82/x
  3. Step 3: Cross multiply
    30,164.10x = 41,628.42 × 17,417.82
  4. Step 4: Simplify right side
    30,164.10x = 725,076,118.30
  5. Step 5: Solve for x
    x = 725,076,118.30/30,164.10
  6. Step 6: Final answer
    x = 24,037.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.