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Finding the Fourth Proportional to 50,412.50, 69,569.25 and 28,061.78

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Solution

The fourth proportional to 50,412.50, 69,569.25 and 28,061.78 is: 38,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,412.50 : 69,569.25 = 28,061.78 : x
  2. Step 2: Convert to fraction form
    50,412.50/69,569.25 = 28,061.78/x
  3. Step 3: Cross multiply
    50,412.50x = 69,569.25 × 28,061.78
  4. Step 4: Simplify right side
    50,412.50x = 1,952,236,988.27
  5. Step 5: Solve for x
    x = 1,952,236,988.27/50,412.50
  6. Step 6: Final answer
    x = 38,725.26

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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.