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Finding the Fourth Proportional to 75,672.64, 113,506.56 and 23,080

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Solution

The fourth proportional to 75,672.64, 113,506.56 and 23,080 is: 34,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,672.64 : 113,506.56 = 23,080 : x
  2. Step 2: Convert to fraction form
    75,672.64/113,506.56 = 23,080/x
  3. Step 3: Cross multiply
    75,672.64x = 113,506.56 × 23,080
  4. Step 4: Simplify right side
    75,672.64x = 2,619,731,404.80
  5. Step 5: Solve for x
    x = 2,619,731,404.80/75,672.64
  6. Step 6: Final answer
    x = 34,619.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.