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Finding the Fourth Proportional to 30,965.58, 42,732.96 and 17,536.50

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Solution

The fourth proportional to 30,965.58, 42,732.96 and 17,536.50 is: 24,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.58 : 42,732.96 = 17,536.50 : x
  2. Step 2: Convert to fraction form
    30,965.58/42,732.96 = 17,536.50/x
  3. Step 3: Cross multiply
    30,965.58x = 42,732.96 × 17,536.50
  4. Step 4: Simplify right side
    30,965.58x = 749,386,553.04
  5. Step 5: Solve for x
    x = 749,386,553.04/30,965.58
  6. Step 6: Final answer
    x = 24,200.63

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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.