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Finding the Fourth Proportional to 32,004.68, 44,154.14 and 20,047.20

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Solution

The fourth proportional to 32,004.68, 44,154.14 and 20,047.20 is: 27,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.68 : 44,154.14 = 20,047.20 : x
  2. Step 2: Convert to fraction form
    32,004.68/44,154.14 = 20,047.20/x
  3. Step 3: Cross multiply
    32,004.68x = 44,154.14 × 20,047.20
  4. Step 4: Simplify right side
    32,004.68x = 885,166,875.41
  5. Step 5: Solve for x
    x = 885,166,875.41/32,004.68
  6. Step 6: Final answer
    x = 27,657.42

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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.