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Finding the Fourth Proportional to 32,156.80, 48,309.32 and 30,828.24

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Solution

The fourth proportional to 32,156.80, 48,309.32 and 30,828.24 is: 46,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,156.80 : 48,309.32 = 30,828.24 : x
  2. Step 2: Convert to fraction form
    32,156.80/48,309.32 = 30,828.24/x
  3. Step 3: Cross multiply
    32,156.80x = 48,309.32 × 30,828.24
  4. Step 4: Simplify right side
    32,156.80x = 1,489,291,311.20
  5. Step 5: Solve for x
    x = 1,489,291,311.20/32,156.80
  6. Step 6: Final answer
    x = 46,313.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.