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Finding the Fourth Proportional to 42,069.39, 63,055.63 and 17,082

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Solution

The fourth proportional to 42,069.39, 63,055.63 and 17,082 is: 25,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,069.39 : 63,055.63 = 17,082 : x
  2. Step 2: Convert to fraction form
    42,069.39/63,055.63 = 17,082/x
  3. Step 3: Cross multiply
    42,069.39x = 63,055.63 × 17,082
  4. Step 4: Simplify right side
    42,069.39x = 1,077,116,293.01
  5. Step 5: Solve for x
    x = 1,077,116,293.01/42,069.39
  6. Step 6: Final answer
    x = 25,603.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.