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Finding the Fourth Proportional to 30,935.84, 42,670.32 and 19,752.80

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Solution

The fourth proportional to 30,935.84, 42,670.32 and 19,752.80 is: 27,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.84 : 42,670.32 = 19,752.80 : x
  2. Step 2: Convert to fraction form
    30,935.84/42,670.32 = 19,752.80/x
  3. Step 3: Cross multiply
    30,935.84x = 42,670.32 × 19,752.80
  4. Step 4: Simplify right side
    30,935.84x = 842,858,296.90
  5. Step 5: Solve for x
    x = 842,858,296.90/30,935.84
  6. Step 6: Final answer
    x = 27,245.37

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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.