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Finding the Fourth Proportional to 32,078, 44,289.51 and 19,524.62

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Solution

The fourth proportional to 32,078, 44,289.51 and 19,524.62 is: 26,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078 : 44,289.51 = 19,524.62 : x
  2. Step 2: Convert to fraction form
    32,078/44,289.51 = 19,524.62/x
  3. Step 3: Cross multiply
    32,078x = 44,289.51 × 19,524.62
  4. Step 4: Simplify right side
    32,078x = 864,735,852.74
  5. Step 5: Solve for x
    x = 864,735,852.74/32,078
  6. Step 6: Final answer
    x = 26,957.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.