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Finding the Fourth Proportional to 50,475.88, 75,710.94 and 13,537

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Solution

The fourth proportional to 50,475.88, 75,710.94 and 13,537 is: 20,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,475.88 : 75,710.94 = 13,537 : x
  2. Step 2: Convert to fraction form
    50,475.88/75,710.94 = 13,537/x
  3. Step 3: Cross multiply
    50,475.88x = 75,710.94 × 13,537
  4. Step 4: Simplify right side
    50,475.88x = 1,024,898,994.78
  5. Step 5: Solve for x
    x = 1,024,898,994.78/50,475.88
  6. Step 6: Final answer
    x = 20,304.73

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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.