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Finding the Fourth Proportional to 32,812.17, 45,284.20 and 20,073.84

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Solution

The fourth proportional to 32,812.17, 45,284.20 and 20,073.84 is: 27,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,812.17 : 45,284.20 = 20,073.84 : x
  2. Step 2: Convert to fraction form
    32,812.17/45,284.20 = 20,073.84/x
  3. Step 3: Cross multiply
    32,812.17x = 45,284.20 × 20,073.84
  4. Step 4: Simplify right side
    32,812.17x = 909,027,684.96
  5. Step 5: Solve for x
    x = 909,027,684.96/32,812.17
  6. Step 6: Final answer
    x = 27,703.98

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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.