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Finding the Fourth Proportional to 27,362.40, 41,046 and 20,057.76

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Solution

The fourth proportional to 27,362.40, 41,046 and 20,057.76 is: 30,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,362.40 : 41,046 = 20,057.76 : x
  2. Step 2: Convert to fraction form
    27,362.40/41,046 = 20,057.76/x
  3. Step 3: Cross multiply
    27,362.40x = 41,046 × 20,057.76
  4. Step 4: Simplify right side
    27,362.40x = 823,290,816.96
  5. Step 5: Solve for x
    x = 823,290,816.96/27,362.40
  6. Step 6: Final answer
    x = 30,088.40

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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.