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Finding the Fourth Proportional to 56,854.44, 78,416.82 and 41,742.36

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Solution

The fourth proportional to 56,854.44, 78,416.82 and 41,742.36 is: 57,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,854.44 : 78,416.82 = 41,742.36 : x
  2. Step 2: Convert to fraction form
    56,854.44/78,416.82 = 41,742.36/x
  3. Step 3: Cross multiply
    56,854.44x = 78,416.82 × 41,742.36
  4. Step 4: Simplify right side
    56,854.44x = 3,273,303,130.50
  5. Step 5: Solve for x
    x = 3,273,303,130.50/56,854.44
  6. Step 6: Final answer
    x = 57,573.39

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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.