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Finding the Fourth Proportional to 48,874.64, 73,279.08 and 22,564.88

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Solution

The fourth proportional to 48,874.64, 73,279.08 and 22,564.88 is: 33,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,874.64 : 73,279.08 = 22,564.88 : x
  2. Step 2: Convert to fraction form
    48,874.64/73,279.08 = 22,564.88/x
  3. Step 3: Cross multiply
    48,874.64x = 73,279.08 × 22,564.88
  4. Step 4: Simplify right side
    48,874.64x = 1,653,533,646.71
  5. Step 5: Solve for x
    x = 1,653,533,646.71/48,874.64
  6. Step 6: Final answer
    x = 33,832.14

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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.