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Finding the Fourth Proportional to 111,673.32, 167,509.98 and 32,842.91

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Solution

The fourth proportional to 111,673.32, 167,509.98 and 32,842.91 is: 49,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,673.32 : 167,509.98 = 32,842.91 : x
  2. Step 2: Convert to fraction form
    111,673.32/167,509.98 = 32,842.91/x
  3. Step 3: Cross multiply
    111,673.32x = 167,509.98 × 32,842.91
  4. Step 4: Simplify right side
    111,673.32x = 5,501,515,197.24
  5. Step 5: Solve for x
    x = 5,501,515,197.24/111,673.32
  6. Step 6: Final answer
    x = 49,264.37

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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.