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Finding the Fourth Proportional to 30,612.32, 42,245.52 and 17,000

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Solution

The fourth proportional to 30,612.32, 42,245.52 and 17,000 is: 23,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612.32 : 42,245.52 = 17,000 : x
  2. Step 2: Convert to fraction form
    30,612.32/42,245.52 = 17,000/x
  3. Step 3: Cross multiply
    30,612.32x = 42,245.52 × 17,000
  4. Step 4: Simplify right side
    30,612.32x = 718,173,840
  5. Step 5: Solve for x
    x = 718,173,840/30,612.32
  6. Step 6: Final answer
    x = 23,460.29

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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.