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Finding the Fourth Proportional to 57,829.82, 86,744.76 and 16,276.82

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Solution

The fourth proportional to 57,829.82, 86,744.76 and 16,276.82 is: 24,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,829.82 : 86,744.76 = 16,276.82 : x
  2. Step 2: Convert to fraction form
    57,829.82/86,744.76 = 16,276.82/x
  3. Step 3: Cross multiply
    57,829.82x = 86,744.76 × 16,276.82
  4. Step 4: Simplify right side
    57,829.82x = 1,411,928,844.46
  5. Step 5: Solve for x
    x = 1,411,928,844.46/57,829.82
  6. Step 6: Final answer
    x = 24,415.24

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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.