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Finding the Fourth Proportional to 32,564.50, 48,848.82 and 9,192.76

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Solution

The fourth proportional to 32,564.50, 48,848.82 and 9,192.76 is: 13,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.50 : 48,848.82 = 9,192.76 : x
  2. Step 2: Convert to fraction form
    32,564.50/48,848.82 = 9,192.76/x
  3. Step 3: Cross multiply
    32,564.50x = 48,848.82 × 9,192.76
  4. Step 4: Simplify right side
    32,564.50x = 449,055,478.54
  5. Step 5: Solve for x
    x = 449,055,478.54/32,564.50
  6. Step 6: Final answer
    x = 13,789.72

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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.