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Finding the Fourth Proportional to 30,537.76, 42,141.72 and 17,108.76

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Solution

The fourth proportional to 30,537.76, 42,141.72 and 17,108.76 is: 23,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.76 : 42,141.72 = 17,108.76 : x
  2. Step 2: Convert to fraction form
    30,537.76/42,141.72 = 17,108.76/x
  3. Step 3: Cross multiply
    30,537.76x = 42,141.72 × 17,108.76
  4. Step 4: Simplify right side
    30,537.76x = 720,992,573.47
  5. Step 5: Solve for x
    x = 720,992,573.47/30,537.76
  6. Step 6: Final answer
    x = 23,609.87

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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.