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Finding the Fourth Proportional to 32,018.40, 47,998.80 and 20,325.60

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Solution

The fourth proportional to 32,018.40, 47,998.80 and 20,325.60 is: 30,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018.40 : 47,998.80 = 20,325.60 : x
  2. Step 2: Convert to fraction form
    32,018.40/47,998.80 = 20,325.60/x
  3. Step 3: Cross multiply
    32,018.40x = 47,998.80 × 20,325.60
  4. Step 4: Simplify right side
    32,018.40x = 975,604,409.28
  5. Step 5: Solve for x
    x = 975,604,409.28/32,018.40
  6. Step 6: Final answer
    x = 30,470.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.