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Finding the Fourth Proportional to 50,893, 70,232.34 and 28,537

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Solution

The fourth proportional to 50,893, 70,232.34 and 28,537 is: 39,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,893 : 70,232.34 = 28,537 : x
  2. Step 2: Convert to fraction form
    50,893/70,232.34 = 28,537/x
  3. Step 3: Cross multiply
    50,893x = 70,232.34 × 28,537
  4. Step 4: Simplify right side
    50,893x = 2,004,220,286.58
  5. Step 5: Solve for x
    x = 2,004,220,286.58/50,893
  6. Step 6: Final answer
    x = 39,381.06

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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.