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Finding the Fourth Proportional to 30,227.60, 45,341.40 and 20,896.40

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Solution

The fourth proportional to 30,227.60, 45,341.40 and 20,896.40 is: 31,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.60 : 45,341.40 = 20,896.40 : x
  2. Step 2: Convert to fraction form
    30,227.60/45,341.40 = 20,896.40/x
  3. Step 3: Cross multiply
    30,227.60x = 45,341.40 × 20,896.40
  4. Step 4: Simplify right side
    30,227.60x = 947,472,030.96
  5. Step 5: Solve for x
    x = 947,472,030.96/30,227.60
  6. Step 6: Final answer
    x = 31,344.60

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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.