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Finding the Fourth Proportional to 56,470.83, 84,692.01 and 23,200.08

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Solution

The fourth proportional to 56,470.83, 84,692.01 and 23,200.08 is: 34,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,470.83 : 84,692.01 = 23,200.08 : x
  2. Step 2: Convert to fraction form
    56,470.83/84,692.01 = 23,200.08/x
  3. Step 3: Cross multiply
    56,470.83x = 84,692.01 × 23,200.08
  4. Step 4: Simplify right side
    56,470.83x = 1,964,861,407.36
  5. Step 5: Solve for x
    x = 1,964,861,407.36/56,470.83
  6. Step 6: Final answer
    x = 34,794.27

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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.