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Finding the Fourth Proportional to 51,142.56, 76,724.28 and 21,560.40

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Solution

The fourth proportional to 51,142.56, 76,724.28 and 21,560.40 is: 32,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,142.56 : 76,724.28 = 21,560.40 : x
  2. Step 2: Convert to fraction form
    51,142.56/76,724.28 = 21,560.40/x
  3. Step 3: Cross multiply
    51,142.56x = 76,724.28 × 21,560.40
  4. Step 4: Simplify right side
    51,142.56x = 1,654,206,166.51
  5. Step 5: Solve for x
    x = 1,654,206,166.51/51,142.56
  6. Step 6: Final answer
    x = 32,345.00

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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.