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Finding the Fourth Proportional to 69,762.30, 96,270.84 and 37,932

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Solution

The fourth proportional to 69,762.30, 96,270.84 and 37,932 is: 52,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,762.30 : 96,270.84 = 37,932 : x
  2. Step 2: Convert to fraction form
    69,762.30/96,270.84 = 37,932/x
  3. Step 3: Cross multiply
    69,762.30x = 96,270.84 × 37,932
  4. Step 4: Simplify right side
    69,762.30x = 3,651,745,502.88
  5. Step 5: Solve for x
    x = 3,651,745,502.88/69,762.30
  6. Step 6: Final answer
    x = 52,345.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.