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Finding the Fourth Proportional to 56,432.56, 84,236.80 and 52,321

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Solution

The fourth proportional to 56,432.56, 84,236.80 and 52,321 is: 78,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,432.56 : 84,236.80 = 52,321 : x
  2. Step 2: Convert to fraction form
    56,432.56/84,236.80 = 52,321/x
  3. Step 3: Cross multiply
    56,432.56x = 84,236.80 × 52,321
  4. Step 4: Simplify right side
    56,432.56x = 4,407,353,612.80
  5. Step 5: Solve for x
    x = 4,407,353,612.80/56,432.56
  6. Step 6: Final answer
    x = 78,099.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.