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Finding the Fourth Proportional to 30,829.56, 42,544.62 and 17,400.12

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Solution

The fourth proportional to 30,829.56, 42,544.62 and 17,400.12 is: 24,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.56 : 42,544.62 = 17,400.12 : x
  2. Step 2: Convert to fraction form
    30,829.56/42,544.62 = 17,400.12/x
  3. Step 3: Cross multiply
    30,829.56x = 42,544.62 × 17,400.12
  4. Step 4: Simplify right side
    30,829.56x = 740,281,493.35
  5. Step 5: Solve for x
    x = 740,281,493.35/30,829.56
  6. Step 6: Final answer
    x = 24,012.07

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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.