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Finding the Fourth Proportional to 38,771.40, 53,510.40 and 23,672.88

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Solution

The fourth proportional to 38,771.40, 53,510.40 and 23,672.88 is: 32,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,771.40 : 53,510.40 = 23,672.88 : x
  2. Step 2: Convert to fraction form
    38,771.40/53,510.40 = 23,672.88/x
  3. Step 3: Cross multiply
    38,771.40x = 53,510.40 × 23,672.88
  4. Step 4: Simplify right side
    38,771.40x = 1,266,745,277.95
  5. Step 5: Solve for x
    x = 1,266,745,277.95/38,771.40
  6. Step 6: Final answer
    x = 32,672.16

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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.