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Finding the Fourth Proportional to 46,682.54, 70,027.32 and 13,402.34

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Solution

The fourth proportional to 46,682.54, 70,027.32 and 13,402.34 is: 20,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,682.54 : 70,027.32 = 13,402.34 : x
  2. Step 2: Convert to fraction form
    46,682.54/70,027.32 = 13,402.34/x
  3. Step 3: Cross multiply
    46,682.54x = 70,027.32 × 13,402.34
  4. Step 4: Simplify right side
    46,682.54x = 938,529,951.93
  5. Step 5: Solve for x
    x = 938,529,951.93/46,682.54
  6. Step 6: Final answer
    x = 20,104.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.