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Finding the Fourth Proportional to 32,832, 45,281.28 and 20,259.84

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Solution

The fourth proportional to 32,832, 45,281.28 and 20,259.84 is: 27,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832 : 45,281.28 = 20,259.84 : x
  2. Step 2: Convert to fraction form
    32,832/45,281.28 = 20,259.84/x
  3. Step 3: Cross multiply
    32,832x = 45,281.28 × 20,259.84
  4. Step 4: Simplify right side
    32,832x = 917,391,487.80
  5. Step 5: Solve for x
    x = 917,391,487.80/32,832
  6. Step 6: Final answer
    x = 27,941.99

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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.