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Finding the Fourth Proportional to 30,786.48, 42,485.40 and 17,357.85

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Solution

The fourth proportional to 30,786.48, 42,485.40 and 17,357.85 is: 23,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.48 : 42,485.40 = 17,357.85 : x
  2. Step 2: Convert to fraction form
    30,786.48/42,485.40 = 17,357.85/x
  3. Step 3: Cross multiply
    30,786.48x = 42,485.40 × 17,357.85
  4. Step 4: Simplify right side
    30,786.48x = 737,455,200.39
  5. Step 5: Solve for x
    x = 737,455,200.39/30,786.48
  6. Step 6: Final answer
    x = 23,953.87

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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.