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Finding the Fourth Proportional to 35,327.84, 48,752.57 and 19,412.60

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Solution

The fourth proportional to 35,327.84, 48,752.57 and 19,412.60 is: 26,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,327.84 : 48,752.57 = 19,412.60 : x
  2. Step 2: Convert to fraction form
    35,327.84/48,752.57 = 19,412.60/x
  3. Step 3: Cross multiply
    35,327.84x = 48,752.57 × 19,412.60
  4. Step 4: Simplify right side
    35,327.84x = 946,414,140.38
  5. Step 5: Solve for x
    x = 946,414,140.38/35,327.84
  6. Step 6: Final answer
    x = 26,789.47

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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.