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Finding the Fourth Proportional to 82,933.60, 124,400.40 and 47,855.20

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Solution

The fourth proportional to 82,933.60, 124,400.40 and 47,855.20 is: 71,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,933.60 : 124,400.40 = 47,855.20 : x
  2. Step 2: Convert to fraction form
    82,933.60/124,400.40 = 47,855.20/x
  3. Step 3: Cross multiply
    82,933.60x = 124,400.40 × 47,855.20
  4. Step 4: Simplify right side
    82,933.60x = 5,953,206,022.08
  5. Step 5: Solve for x
    x = 5,953,206,022.08/82,933.60
  6. Step 6: Final answer
    x = 71,782.80

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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.