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Finding the Fourth Proportional to 30,434.49, 41,999.80 and 17,006.31

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Solution

The fourth proportional to 30,434.49, 41,999.80 and 17,006.31 is: 23,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.49 : 41,999.80 = 17,006.31 : x
  2. Step 2: Convert to fraction form
    30,434.49/41,999.80 = 17,006.31/x
  3. Step 3: Cross multiply
    30,434.49x = 41,999.80 × 17,006.31
  4. Step 4: Simplify right side
    30,434.49x = 714,261,323.71
  5. Step 5: Solve for x
    x = 714,261,323.71/30,434.49
  6. Step 6: Final answer
    x = 23,468.82

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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.