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Finding the Fourth Proportional to 109,670.94, 164,472.92 and 46,489.88

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Solution

The fourth proportional to 109,670.94, 164,472.92 and 46,489.88 is: 69,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,670.94 : 164,472.92 = 46,489.88 : x
  2. Step 2: Convert to fraction form
    109,670.94/164,472.92 = 46,489.88/x
  3. Step 3: Cross multiply
    109,670.94x = 164,472.92 × 46,489.88
  4. Step 4: Simplify right side
    109,670.94x = 7,646,325,259.24
  5. Step 5: Solve for x
    x = 7,646,325,259.24/109,670.94
  6. Step 6: Final answer
    x = 69,720.61

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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.