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Finding the Fourth Proportional to 56,576.32, 78,076.56 and 32,704

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Solution

The fourth proportional to 56,576.32, 78,076.56 and 32,704 is: 45,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,576.32 : 78,076.56 = 32,704 : x
  2. Step 2: Convert to fraction form
    56,576.32/78,076.56 = 32,704/x
  3. Step 3: Cross multiply
    56,576.32x = 78,076.56 × 32,704
  4. Step 4: Simplify right side
    56,576.32x = 2,553,415,818.24
  5. Step 5: Solve for x
    x = 2,553,415,818.24/56,576.32
  6. Step 6: Final answer
    x = 45,132.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.