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Finding the Fourth Proportional to 35,857.80, 53,786.70 and 31,480.20

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Solution

The fourth proportional to 35,857.80, 53,786.70 and 31,480.20 is: 47,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.80 : 53,786.70 = 31,480.20 : x
  2. Step 2: Convert to fraction form
    35,857.80/53,786.70 = 31,480.20/x
  3. Step 3: Cross multiply
    35,857.80x = 53,786.70 × 31,480.20
  4. Step 4: Simplify right side
    35,857.80x = 1,693,216,073.34
  5. Step 5: Solve for x
    x = 1,693,216,073.34/35,857.80
  6. Step 6: Final answer
    x = 47,220.30

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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.