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Finding the Fourth Proportional to 30,658.50, 42,308.37 and 17,232.03

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Solution

The fourth proportional to 30,658.50, 42,308.37 and 17,232.03 is: 23,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.50 : 42,308.37 = 17,232.03 : x
  2. Step 2: Convert to fraction form
    30,658.50/42,308.37 = 17,232.03/x
  3. Step 3: Cross multiply
    30,658.50x = 42,308.37 × 17,232.03
  4. Step 4: Simplify right side
    30,658.50x = 729,059,101.09
  5. Step 5: Solve for x
    x = 729,059,101.09/30,658.50
  6. Step 6: Final answer
    x = 23,780.00

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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.