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Finding the Fourth Proportional to 34,156.32, 51,240.63 and 15,445.14

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Solution

The fourth proportional to 34,156.32, 51,240.63 and 15,445.14 is: 23,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156.32 : 51,240.63 = 15,445.14 : x
  2. Step 2: Convert to fraction form
    34,156.32/51,240.63 = 15,445.14/x
  3. Step 3: Cross multiply
    34,156.32x = 51,240.63 × 15,445.14
  4. Step 4: Simplify right side
    34,156.32x = 791,418,704.04
  5. Step 5: Solve for x
    x = 791,418,704.04/34,156.32
  6. Step 6: Final answer
    x = 23,170.49

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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.