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Finding the Fourth Proportional to 54,298.64, 81,444.08 and 16,857.80

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Solution

The fourth proportional to 54,298.64, 81,444.08 and 16,857.80 is: 25,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,298.64 : 81,444.08 = 16,857.80 : x
  2. Step 2: Convert to fraction form
    54,298.64/81,444.08 = 16,857.80/x
  3. Step 3: Cross multiply
    54,298.64x = 81,444.08 × 16,857.80
  4. Step 4: Simplify right side
    54,298.64x = 1,372,968,011.82
  5. Step 5: Solve for x
    x = 1,372,968,011.82/54,298.64
  6. Step 6: Final answer
    x = 25,285.50

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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.