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Finding the Fourth Proportional to 30,965.30, 42,732.68 and 17,539.34

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Solution

The fourth proportional to 30,965.30, 42,732.68 and 17,539.34 is: 24,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.30 : 42,732.68 = 17,539.34 : x
  2. Step 2: Convert to fraction form
    30,965.30/42,732.68 = 17,539.34/x
  3. Step 3: Cross multiply
    30,965.30x = 42,732.68 × 17,539.34
  4. Step 4: Simplify right side
    30,965.30x = 749,502,702.27
  5. Step 5: Solve for x
    x = 749,502,702.27/30,965.30
  6. Step 6: Final answer
    x = 24,204.60

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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.