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Finding the Fourth Proportional to 32,782.55, 45,238.77 and 18,442.62

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Solution

The fourth proportional to 32,782.55, 45,238.77 and 18,442.62 is: 25,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.55 : 45,238.77 = 18,442.62 : x
  2. Step 2: Convert to fraction form
    32,782.55/45,238.77 = 18,442.62/x
  3. Step 3: Cross multiply
    32,782.55x = 45,238.77 × 18,442.62
  4. Step 4: Simplify right side
    32,782.55x = 834,321,444.38
  5. Step 5: Solve for x
    x = 834,321,444.38/32,782.55
  6. Step 6: Final answer
    x = 25,450.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.