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Finding the Fourth Proportional to 37,966.72, 52,384.64 and 32,922.88

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Solution

The fourth proportional to 37,966.72, 52,384.64 and 32,922.88 is: 45,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966.72 : 52,384.64 = 32,922.88 : x
  2. Step 2: Convert to fraction form
    37,966.72/52,384.64 = 32,922.88/x
  3. Step 3: Cross multiply
    37,966.72x = 52,384.64 × 32,922.88
  4. Step 4: Simplify right side
    37,966.72x = 1,724,653,216.56
  5. Step 5: Solve for x
    x = 1,724,653,216.56/37,966.72
  6. Step 6: Final answer
    x = 45,425.39

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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.