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Finding the Fourth Proportional to 30,810.82, 42,518.94 and 17,384.92

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Solution

The fourth proportional to 30,810.82, 42,518.94 and 17,384.92 is: 23,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810.82 : 42,518.94 = 17,384.92 : x
  2. Step 2: Convert to fraction form
    30,810.82/42,518.94 = 17,384.92/x
  3. Step 3: Cross multiply
    30,810.82x = 42,518.94 × 17,384.92
  4. Step 4: Simplify right side
    30,810.82x = 739,188,370.38
  5. Step 5: Solve for x
    x = 739,188,370.38/30,810.82
  6. Step 6: Final answer
    x = 23,991.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.