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Finding the Fourth Proportional to 44,297.80, 66,446.70 and 31,856.20

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Solution

The fourth proportional to 44,297.80, 66,446.70 and 31,856.20 is: 47,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,297.80 : 66,446.70 = 31,856.20 : x
  2. Step 2: Convert to fraction form
    44,297.80/66,446.70 = 31,856.20/x
  3. Step 3: Cross multiply
    44,297.80x = 66,446.70 × 31,856.20
  4. Step 4: Simplify right side
    44,297.80x = 2,116,739,364.54
  5. Step 5: Solve for x
    x = 2,116,739,364.54/44,297.80
  6. Step 6: Final answer
    x = 47,784.30

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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.