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Finding the Fourth Proportional to 56,893.26, 85,350 and 19,457.49

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Solution

The fourth proportional to 56,893.26, 85,350 and 19,457.49 is: 29,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,893.26 : 85,350 = 19,457.49 : x
  2. Step 2: Convert to fraction form
    56,893.26/85,350 = 19,457.49/x
  3. Step 3: Cross multiply
    56,893.26x = 85,350 × 19,457.49
  4. Step 4: Simplify right side
    56,893.26x = 1,660,696,771.50
  5. Step 5: Solve for x
    x = 1,660,696,771.50/56,893.26
  6. Step 6: Final answer
    x = 29,189.69

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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.