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Finding the Fourth Proportional to 32,817.30, 45,329.67 and 27,539.34

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Solution

The fourth proportional to 32,817.30, 45,329.67 and 27,539.34 is: 38,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817.30 : 45,329.67 = 27,539.34 : x
  2. Step 2: Convert to fraction form
    32,817.30/45,329.67 = 27,539.34/x
  3. Step 3: Cross multiply
    32,817.30x = 45,329.67 × 27,539.34
  4. Step 4: Simplify right side
    32,817.30x = 1,248,349,194.22
  5. Step 5: Solve for x
    x = 1,248,349,194.22/32,817.30
  6. Step 6: Final answer
    x = 38,039.36

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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.