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Finding the Fourth Proportional to 56,025, 84,007.80 and 16,576.68

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Solution

The fourth proportional to 56,025, 84,007.80 and 16,576.68 is: 24,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,025 : 84,007.80 = 16,576.68 : x
  2. Step 2: Convert to fraction form
    56,025/84,007.80 = 16,576.68/x
  3. Step 3: Cross multiply
    56,025x = 84,007.80 × 16,576.68
  4. Step 4: Simplify right side
    56,025x = 1,392,570,418.10
  5. Step 5: Solve for x
    x = 1,392,570,418.10/56,025
  6. Step 6: Final answer
    x = 24,856.23

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Why These Related Problems?

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