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Finding the Fourth Proportional to 82,769.80, 124,284.30 and 56,590.60

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Solution

The fourth proportional to 82,769.80, 124,284.30 and 56,590.60 is: 84,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,769.80 : 124,284.30 = 56,590.60 : x
  2. Step 2: Convert to fraction form
    82,769.80/124,284.30 = 56,590.60/x
  3. Step 3: Cross multiply
    82,769.80x = 124,284.30 × 56,590.60
  4. Step 4: Simplify right side
    82,769.80x = 7,033,323,107.58
  5. Step 5: Solve for x
    x = 7,033,323,107.58/82,769.80
  6. Step 6: Final answer
    x = 84,974.51

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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.