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Finding the Fourth Proportional to 50,938.79, 76,408.88 and 13,502.48

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Solution

The fourth proportional to 50,938.79, 76,408.88 and 13,502.48 is: 20,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,938.79 : 76,408.88 = 13,502.48 : x
  2. Step 2: Convert to fraction form
    50,938.79/76,408.88 = 13,502.48/x
  3. Step 3: Cross multiply
    50,938.79x = 76,408.88 × 13,502.48
  4. Step 4: Simplify right side
    50,938.79x = 1,031,709,497.53
  5. Step 5: Solve for x
    x = 1,031,709,497.53/50,938.79
  6. Step 6: Final answer
    x = 20,253.91

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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.