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Finding the Fourth Proportional to 50,869.32, 70,195.86 and 28,509

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Solution

The fourth proportional to 50,869.32, 70,195.86 and 28,509 is: 39,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,869.32 : 70,195.86 = 28,509 : x
  2. Step 2: Convert to fraction form
    50,869.32/70,195.86 = 28,509/x
  3. Step 3: Cross multiply
    50,869.32x = 70,195.86 × 28,509
  4. Step 4: Simplify right side
    50,869.32x = 2,001,213,772.74
  5. Step 5: Solve for x
    x = 2,001,213,772.74/50,869.32
  6. Step 6: Final answer
    x = 39,340.29

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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.