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Finding the Fourth Proportional to 38,497.62, 53,112.03 and 23,384.58

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Solution

The fourth proportional to 38,497.62, 53,112.03 and 23,384.58 is: 32,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.62 : 53,112.03 = 23,384.58 : x
  2. Step 2: Convert to fraction form
    38,497.62/53,112.03 = 23,384.58/x
  3. Step 3: Cross multiply
    38,497.62x = 53,112.03 × 23,384.58
  4. Step 4: Simplify right side
    38,497.62x = 1,242,002,514.50
  5. Step 5: Solve for x
    x = 1,242,002,514.50/38,497.62
  6. Step 6: Final answer
    x = 32,261.80

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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.