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Finding the Fourth Proportional to 30,633.53, 42,275.22 and 17,205.08

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Solution

The fourth proportional to 30,633.53, 42,275.22 and 17,205.08 is: 23,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633.53 : 42,275.22 = 17,205.08 : x
  2. Step 2: Convert to fraction form
    30,633.53/42,275.22 = 17,205.08/x
  3. Step 3: Cross multiply
    30,633.53x = 42,275.22 × 17,205.08
  4. Step 4: Simplify right side
    30,633.53x = 727,348,330.74
  5. Step 5: Solve for x
    x = 727,348,330.74/30,633.53
  6. Step 6: Final answer
    x = 23,743.54

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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.