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Finding the Fourth Proportional to 78,503.92, 108,297.34 and 46,650.28

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Solution

The fourth proportional to 78,503.92, 108,297.34 and 46,650.28 is: 64,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,503.92 : 108,297.34 = 46,650.28 : x
  2. Step 2: Convert to fraction form
    78,503.92/108,297.34 = 46,650.28/x
  3. Step 3: Cross multiply
    78,503.92x = 108,297.34 × 46,650.28
  4. Step 4: Simplify right side
    78,503.92x = 5,052,101,234.26
  5. Step 5: Solve for x
    x = 5,052,101,234.26/78,503.92
  6. Step 6: Final answer
    x = 64,354.76

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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.