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Finding the Fourth Proportional to 47,820.48, 71,734.72 and 12,760

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Solution

The fourth proportional to 47,820.48, 71,734.72 and 12,760 is: 19,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,820.48 : 71,734.72 = 12,760 : x
  2. Step 2: Convert to fraction form
    47,820.48/71,734.72 = 12,760/x
  3. Step 3: Cross multiply
    47,820.48x = 71,734.72 × 12,760
  4. Step 4: Simplify right side
    47,820.48x = 915,335,027.20
  5. Step 5: Solve for x
    x = 915,335,027.20/47,820.48
  6. Step 6: Final answer
    x = 19,141.07

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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.