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Finding the Fourth Proportional to 30,559.76, 42,174.24 and 17,135.40

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Solution

The fourth proportional to 30,559.76, 42,174.24 and 17,135.40 is: 23,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,559.76 : 42,174.24 = 17,135.40 : x
  2. Step 2: Convert to fraction form
    30,559.76/42,174.24 = 17,135.40/x
  3. Step 3: Cross multiply
    30,559.76x = 42,174.24 × 17,135.40
  4. Step 4: Simplify right side
    30,559.76x = 722,672,472.10
  5. Step 5: Solve for x
    x = 722,672,472.10/30,559.76
  6. Step 6: Final answer
    x = 23,647.85

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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.