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Finding the Fourth Proportional to 42,635.82, 58,830.56 and 25,636

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Solution

The fourth proportional to 42,635.82, 58,830.56 and 25,636 is: 35,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,635.82 : 58,830.56 = 25,636 : x
  2. Step 2: Convert to fraction form
    42,635.82/58,830.56 = 25,636/x
  3. Step 3: Cross multiply
    42,635.82x = 58,830.56 × 25,636
  4. Step 4: Simplify right side
    42,635.82x = 1,508,180,236.16
  5. Step 5: Solve for x
    x = 1,508,180,236.16/42,635.82
  6. Step 6: Final answer
    x = 35,373.55

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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.