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Finding the Fourth Proportional to 32,900, 45,402.72 and 17,996

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Solution

The fourth proportional to 32,900, 45,402.72 and 17,996 is: 24,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900 : 45,402.72 = 17,996 : x
  2. Step 2: Convert to fraction form
    32,900/45,402.72 = 17,996/x
  3. Step 3: Cross multiply
    32,900x = 45,402.72 × 17,996
  4. Step 4: Simplify right side
    32,900x = 817,067,349.12
  5. Step 5: Solve for x
    x = 817,067,349.12/32,900
  6. Step 6: Final answer
    x = 24,834.87

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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.