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Finding the Fourth Proportional to 42,783, 64,200.42 and 18,159

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Solution

The fourth proportional to 42,783, 64,200.42 and 18,159 is: 27,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,783 : 64,200.42 = 18,159 : x
  2. Step 2: Convert to fraction form
    42,783/64,200.42 = 18,159/x
  3. Step 3: Cross multiply
    42,783x = 64,200.42 × 18,159
  4. Step 4: Simplify right side
    42,783x = 1,165,815,426.78
  5. Step 5: Solve for x
    x = 1,165,815,426.78/42,783
  6. Step 6: Final answer
    x = 27,249.50

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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.