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Finding the Fourth Proportional to 58,214.72, 87,238.64 and 33,203

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Solution

The fourth proportional to 58,214.72, 87,238.64 and 33,203 is: 49,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,214.72 : 87,238.64 = 33,203 : x
  2. Step 2: Convert to fraction form
    58,214.72/87,238.64 = 33,203/x
  3. Step 3: Cross multiply
    58,214.72x = 87,238.64 × 33,203
  4. Step 4: Simplify right side
    58,214.72x = 2,896,584,563.92
  5. Step 5: Solve for x
    x = 2,896,584,563.92/58,214.72
  6. Step 6: Final answer
    x = 49,756.91

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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.