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Finding the Fourth Proportional to 38,737.75, 53,467.22 and 23,642.89

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Solution

The fourth proportional to 38,737.75, 53,467.22 and 23,642.89 is: 32,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,737.75 : 53,467.22 = 23,642.89 : x
  2. Step 2: Convert to fraction form
    38,737.75/53,467.22 = 23,642.89/x
  3. Step 3: Cross multiply
    38,737.75x = 53,467.22 × 23,642.89
  4. Step 4: Simplify right side
    38,737.75x = 1,264,119,601.07
  5. Step 5: Solve for x
    x = 1,264,119,601.07/38,737.75
  6. Step 6: Final answer
    x = 32,632.76

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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.