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Finding the Fourth Proportional to 32,396, 48,484.27 and 19,923.93

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Solution

The fourth proportional to 32,396, 48,484.27 and 19,923.93 is: 29,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396 : 48,484.27 = 19,923.93 : x
  2. Step 2: Convert to fraction form
    32,396/48,484.27 = 19,923.93/x
  3. Step 3: Cross multiply
    32,396x = 48,484.27 × 19,923.93
  4. Step 4: Simplify right side
    32,396x = 965,997,201.58
  5. Step 5: Solve for x
    x = 965,997,201.58/32,396
  6. Step 6: Final answer
    x = 29,818.41

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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.