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Finding the Fourth Proportional to 48,872.64, 73,276.08 and 22,562.88

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Solution

The fourth proportional to 48,872.64, 73,276.08 and 22,562.88 is: 33,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,872.64 : 73,276.08 = 22,562.88 : x
  2. Step 2: Convert to fraction form
    48,872.64/73,276.08 = 22,562.88/x
  3. Step 3: Cross multiply
    48,872.64x = 73,276.08 × 22,562.88
  4. Step 4: Simplify right side
    48,872.64x = 1,653,319,399.91
  5. Step 5: Solve for x
    x = 1,653,319,399.91/48,872.64
  6. Step 6: Final answer
    x = 33,829.14

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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.