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Finding the Fourth Proportional to 107,668.92, 161,501.94 and 37,548

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Solution

The fourth proportional to 107,668.92, 161,501.94 and 37,548 is: 56,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,668.92 : 161,501.94 = 37,548 : x
  2. Step 2: Convert to fraction form
    107,668.92/161,501.94 = 37,548/x
  3. Step 3: Cross multiply
    107,668.92x = 161,501.94 × 37,548
  4. Step 4: Simplify right side
    107,668.92x = 6,064,074,843.12
  5. Step 5: Solve for x
    x = 6,064,074,843.12/107,668.92
  6. Step 6: Final answer
    x = 56,321.50

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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.