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Finding the Fourth Proportional to 71,946.32, 107,867.64 and 44,186

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Solution

The fourth proportional to 71,946.32, 107,867.64 and 44,186 is: 66,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946.32 : 107,867.64 = 44,186 : x
  2. Step 2: Convert to fraction form
    71,946.32/107,867.64 = 44,186/x
  3. Step 3: Cross multiply
    71,946.32x = 107,867.64 × 44,186
  4. Step 4: Simplify right side
    71,946.32x = 4,766,239,541.04
  5. Step 5: Solve for x
    x = 4,766,239,541.04/71,946.32
  6. Step 6: Final answer
    x = 66,247.16

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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.