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Finding the Fourth Proportional to 111,520, 167,305.92 and 37,648

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Solution

The fourth proportional to 111,520, 167,305.92 and 37,648 is: 56,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,520 : 167,305.92 = 37,648 : x
  2. Step 2: Convert to fraction form
    111,520/167,305.92 = 37,648/x
  3. Step 3: Cross multiply
    111,520x = 167,305.92 × 37,648
  4. Step 4: Simplify right side
    111,520x = 6,298,733,276.16
  5. Step 5: Solve for x
    x = 6,298,733,276.16/111,520
  6. Step 6: Final answer
    x = 56,480.75

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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.