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Finding the Fourth Proportional to 32,400.75, 44,728.02 and 22,848.42

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Solution

The fourth proportional to 32,400.75, 44,728.02 and 22,848.42 is: 31,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.75 : 44,728.02 = 22,848.42 : x
  2. Step 2: Convert to fraction form
    32,400.75/44,728.02 = 22,848.42/x
  3. Step 3: Cross multiply
    32,400.75x = 44,728.02 × 22,848.42
  4. Step 4: Simplify right side
    32,400.75x = 1,021,964,586.73
  5. Step 5: Solve for x
    x = 1,021,964,586.73/32,400.75
  6. Step 6: Final answer
    x = 31,541.39

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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.