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Finding the Fourth Proportional to 85,358.87, 117,795.27 and 47,118.44

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Solution

The fourth proportional to 85,358.87, 117,795.27 and 47,118.44 is: 65,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,358.87 : 117,795.27 = 47,118.44 : x
  2. Step 2: Convert to fraction form
    85,358.87/117,795.27 = 47,118.44/x
  3. Step 3: Cross multiply
    85,358.87x = 117,795.27 × 47,118.44
  4. Step 4: Simplify right side
    85,358.87x = 5,550,329,126.19
  5. Step 5: Solve for x
    x = 5,550,329,126.19/85,358.87
  6. Step 6: Final answer
    x = 65,023.46

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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.