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Finding the Fourth Proportional to 56,472.20, 84,741.90 and 21,415.40

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Solution

The fourth proportional to 56,472.20, 84,741.90 and 21,415.40 is: 32,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,472.20 : 84,741.90 = 21,415.40 : x
  2. Step 2: Convert to fraction form
    56,472.20/84,741.90 = 21,415.40/x
  3. Step 3: Cross multiply
    56,472.20x = 84,741.90 × 21,415.40
  4. Step 4: Simplify right side
    56,472.20x = 1,814,781,685.26
  5. Step 5: Solve for x
    x = 1,814,781,685.26/56,472.20
  6. Step 6: Final answer
    x = 32,135.84

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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.