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Finding the Fourth Proportional to 32,126, 48,157 and 15,481.31

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Solution

The fourth proportional to 32,126, 48,157 and 15,481.31 is: 23,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,126 : 48,157 = 15,481.31 : x
  2. Step 2: Convert to fraction form
    32,126/48,157 = 15,481.31/x
  3. Step 3: Cross multiply
    32,126x = 48,157 × 15,481.31
  4. Step 4: Simplify right side
    32,126x = 745,533,445.67
  5. Step 5: Solve for x
    x = 745,533,445.67/32,126
  6. Step 6: Final answer
    x = 23,206.54

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Why These Related Problems?

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