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Finding the Fourth Proportional to 51,170.32, 70,614.43 and 28,509.25

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Solution

The fourth proportional to 51,170.32, 70,614.43 and 28,509.25 is: 39,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,170.32 : 70,614.43 = 28,509.25 : x
  2. Step 2: Convert to fraction form
    51,170.32/70,614.43 = 28,509.25/x
  3. Step 3: Cross multiply
    51,170.32x = 70,614.43 × 28,509.25
  4. Step 4: Simplify right side
    51,170.32x = 2,013,164,190.67
  5. Step 5: Solve for x
    x = 2,013,164,190.67/51,170.32
  6. Step 6: Final answer
    x = 39,342.42

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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.