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Finding the Fourth Proportional to 48,042.56, 72,074.34 and 14,765

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Solution

The fourth proportional to 48,042.56, 72,074.34 and 14,765 is: 22,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,042.56 : 72,074.34 = 14,765 : x
  2. Step 2: Convert to fraction form
    48,042.56/72,074.34 = 14,765/x
  3. Step 3: Cross multiply
    48,042.56x = 72,074.34 × 14,765
  4. Step 4: Simplify right side
    48,042.56x = 1,064,177,630.10
  5. Step 5: Solve for x
    x = 1,064,177,630.10/48,042.56
  6. Step 6: Final answer
    x = 22,150.73

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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.