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Finding the Fourth Proportional to 42,171.84, 58,194.86 and 23,307.75

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Solution

The fourth proportional to 42,171.84, 58,194.86 and 23,307.75 is: 32,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,171.84 : 58,194.86 = 23,307.75 : x
  2. Step 2: Convert to fraction form
    42,171.84/58,194.86 = 23,307.75/x
  3. Step 3: Cross multiply
    42,171.84x = 58,194.86 × 23,307.75
  4. Step 4: Simplify right side
    42,171.84x = 1,356,391,131.63
  5. Step 5: Solve for x
    x = 1,356,391,131.63/42,171.84
  6. Step 6: Final answer
    x = 32,163.43

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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.