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Finding the Fourth Proportional to 30,510.72, 42,105.15 and 17,083.15

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Solution

The fourth proportional to 30,510.72, 42,105.15 and 17,083.15 is: 23,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,510.72 : 42,105.15 = 17,083.15 : x
  2. Step 2: Convert to fraction form
    30,510.72/42,105.15 = 17,083.15/x
  3. Step 3: Cross multiply
    30,510.72x = 42,105.15 × 17,083.15
  4. Step 4: Simplify right side
    30,510.72x = 719,288,487.96
  5. Step 5: Solve for x
    x = 719,288,487.96/30,510.72
  6. Step 6: Final answer
    x = 23,574.94

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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.