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Finding the Fourth Proportional to 32,467.76, 48,703.46 and 15,842

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Solution

The fourth proportional to 32,467.76, 48,703.46 and 15,842 is: 23,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.76 : 48,703.46 = 15,842 : x
  2. Step 2: Convert to fraction form
    32,467.76/48,703.46 = 15,842/x
  3. Step 3: Cross multiply
    32,467.76x = 48,703.46 × 15,842
  4. Step 4: Simplify right side
    32,467.76x = 771,560,213.32
  5. Step 5: Solve for x
    x = 771,560,213.32/32,467.76
  6. Step 6: Final answer
    x = 23,763.89

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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.