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Finding the Fourth Proportional to 38,954.52, 53,748.56 and 23,846.00

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Solution

The fourth proportional to 38,954.52, 53,748.56 and 23,846.00 is: 32,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,954.52 : 53,748.56 = 23,846.00 : x
  2. Step 2: Convert to fraction form
    38,954.52/53,748.56 = 23,846.00/x
  3. Step 3: Cross multiply
    38,954.52x = 53,748.56 × 23,846.00
  4. Step 4: Simplify right side
    38,954.52x = 1,281,687,952.63
  5. Step 5: Solve for x
    x = 1,281,687,952.63/38,954.52
  6. Step 6: Final answer
    x = 32,902.16

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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.