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Finding the Fourth Proportional to 32,484.24, 48,664.17 and 19,296.54

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Solution

The fourth proportional to 32,484.24, 48,664.17 and 19,296.54 is: 28,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484.24 : 48,664.17 = 19,296.54 : x
  2. Step 2: Convert to fraction form
    32,484.24/48,664.17 = 19,296.54/x
  3. Step 3: Cross multiply
    32,484.24x = 48,664.17 × 19,296.54
  4. Step 4: Simplify right side
    32,484.24x = 939,050,102.97
  5. Step 5: Solve for x
    x = 939,050,102.97/32,484.24
  6. Step 6: Final answer
    x = 28,907.87

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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.