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Finding the Fourth Proportional to 77,533.63, 116,226.56 and 24,906.16

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Solution

The fourth proportional to 77,533.63, 116,226.56 and 24,906.16 is: 37,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,533.63 : 116,226.56 = 24,906.16 : x
  2. Step 2: Convert to fraction form
    77,533.63/116,226.56 = 24,906.16/x
  3. Step 3: Cross multiply
    77,533.63x = 116,226.56 × 24,906.16
  4. Step 4: Simplify right side
    77,533.63x = 2,894,757,175.08
  5. Step 5: Solve for x
    x = 2,894,757,175.08/77,533.63
  6. Step 6: Final answer
    x = 37,335.50

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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.