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Finding the Fourth Proportional to 30,504.57, 42,097.02 and 17,075.49

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Solution

The fourth proportional to 30,504.57, 42,097.02 and 17,075.49 is: 23,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,504.57 : 42,097.02 = 17,075.49 : x
  2. Step 2: Convert to fraction form
    30,504.57/42,097.02 = 17,075.49/x
  3. Step 3: Cross multiply
    30,504.57x = 42,097.02 × 17,075.49
  4. Step 4: Simplify right side
    30,504.57x = 718,827,244.04
  5. Step 5: Solve for x
    x = 718,827,244.04/30,504.57
  6. Step 6: Final answer
    x = 23,564.58

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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.