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Finding the Fourth Proportional to 66,801.80, 100,202.70 and 31,809.80

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Solution

The fourth proportional to 66,801.80, 100,202.70 and 31,809.80 is: 47,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,801.80 : 100,202.70 = 31,809.80 : x
  2. Step 2: Convert to fraction form
    66,801.80/100,202.70 = 31,809.80/x
  3. Step 3: Cross multiply
    66,801.80x = 100,202.70 × 31,809.80
  4. Step 4: Simplify right side
    66,801.80x = 3,187,427,846.46
  5. Step 5: Solve for x
    x = 3,187,427,846.46/66,801.80
  6. Step 6: Final answer
    x = 47,714.70

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1.5x scale

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.