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Finding the Fourth Proportional to 56,941.44, 85,412.64 and 52,656

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Solution

The fourth proportional to 56,941.44, 85,412.64 and 52,656 is: 78,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,941.44 : 85,412.64 = 52,656 : x
  2. Step 2: Convert to fraction form
    56,941.44/85,412.64 = 52,656/x
  3. Step 3: Cross multiply
    56,941.44x = 85,412.64 × 52,656
  4. Step 4: Simplify right side
    56,941.44x = 4,497,487,971.84
  5. Step 5: Solve for x
    x = 4,497,487,971.84/56,941.44
  6. Step 6: Final answer
    x = 78,984.44

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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.