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Finding the Fourth Proportional to 56,493.70, 84,740.48 and 21,433.30

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Solution

The fourth proportional to 56,493.70, 84,740.48 and 21,433.30 is: 32,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.70 : 84,740.48 = 21,433.30 : x
  2. Step 2: Convert to fraction form
    56,493.70/84,740.48 = 21,433.30/x
  3. Step 3: Cross multiply
    56,493.70x = 84,740.48 × 21,433.30
  4. Step 4: Simplify right side
    56,493.70x = 1,816,268,129.98
  5. Step 5: Solve for x
    x = 1,816,268,129.98/56,493.70
  6. Step 6: Final answer
    x = 32,149.92

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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.