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Finding the Fourth Proportional to 30,834.01, 42,551.72 and 17,406.50

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Solution

The fourth proportional to 30,834.01, 42,551.72 and 17,406.50 is: 24,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.01 : 42,551.72 = 17,406.50 : x
  2. Step 2: Convert to fraction form
    30,834.01/42,551.72 = 17,406.50/x
  3. Step 3: Cross multiply
    30,834.01x = 42,551.72 × 17,406.50
  4. Step 4: Simplify right side
    30,834.01x = 740,676,664.08
  5. Step 5: Solve for x
    x = 740,676,664.08/30,834.01
  6. Step 6: Final answer
    x = 24,021.42

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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.