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Finding the Fourth Proportional to 35,178.69, 48,546.68 and 19,046.17

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Solution

The fourth proportional to 35,178.69, 48,546.68 and 19,046.17 is: 26,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,178.69 : 48,546.68 = 19,046.17 : x
  2. Step 2: Convert to fraction form
    35,178.69/48,546.68 = 19,046.17/x
  3. Step 3: Cross multiply
    35,178.69x = 48,546.68 × 19,046.17
  4. Step 4: Simplify right side
    35,178.69x = 924,628,320.22
  5. Step 5: Solve for x
    x = 924,628,320.22/35,178.69
  6. Step 6: Final answer
    x = 26,283.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.