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Finding the Fourth Proportional to 30,592.71, 42,208.07 and 17,161.46

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Solution

The fourth proportional to 30,592.71, 42,208.07 and 17,161.46 is: 23,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592.71 : 42,208.07 = 17,161.46 : x
  2. Step 2: Convert to fraction form
    30,592.71/42,208.07 = 17,161.46/x
  3. Step 3: Cross multiply
    30,592.71x = 42,208.07 × 17,161.46
  4. Step 4: Simplify right side
    30,592.71x = 724,352,075.99
  5. Step 5: Solve for x
    x = 724,352,075.99/30,592.71
  6. Step 6: Final answer
    x = 23,677.28

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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.