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Finding the Fourth Proportional to 47,746.34, 71,510.50 and 22,803.96

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Solution

The fourth proportional to 47,746.34, 71,510.50 and 22,803.96 is: 34,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,746.34 : 71,510.50 = 22,803.96 : x
  2. Step 2: Convert to fraction form
    47,746.34/71,510.50 = 22,803.96/x
  3. Step 3: Cross multiply
    47,746.34x = 71,510.50 × 22,803.96
  4. Step 4: Simplify right side
    47,746.34x = 1,630,722,467.56
  5. Step 5: Solve for x
    x = 1,630,722,467.56/47,746.34
  6. Step 6: Final answer
    x = 34,153.88

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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.