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Finding the Fourth Proportional to 56,680.64, 78,186.72 and 35,423

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Solution

The fourth proportional to 56,680.64, 78,186.72 and 35,423 is: 48,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,680.64 : 78,186.72 = 35,423 : x
  2. Step 2: Convert to fraction form
    56,680.64/78,186.72 = 35,423/x
  3. Step 3: Cross multiply
    56,680.64x = 78,186.72 × 35,423
  4. Step 4: Simplify right side
    56,680.64x = 2,769,608,182.56
  5. Step 5: Solve for x
    x = 2,769,608,182.56/56,680.64
  6. Step 6: Final answer
    x = 48,863.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.