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Finding the Fourth Proportional to 38,772.90, 53,512.47 and 23,674.38

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Solution

The fourth proportional to 38,772.90, 53,512.47 and 23,674.38 is: 32,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,772.90 : 53,512.47 = 23,674.38 : x
  2. Step 2: Convert to fraction form
    38,772.90/53,512.47 = 23,674.38/x
  3. Step 3: Cross multiply
    38,772.90x = 53,512.47 × 23,674.38
  4. Step 4: Simplify right side
    38,772.90x = 1,266,874,549.52
  5. Step 5: Solve for x
    x = 1,266,874,549.52/38,772.90
  6. Step 6: Final answer
    x = 32,674.23

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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.