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Finding the Fourth Proportional to 49,548.48, 68,381.76 and 28,330.88

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Solution

The fourth proportional to 49,548.48, 68,381.76 and 28,330.88 is: 39,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,548.48 : 68,381.76 = 28,330.88 : x
  2. Step 2: Convert to fraction form
    49,548.48/68,381.76 = 28,330.88/x
  3. Step 3: Cross multiply
    49,548.48x = 68,381.76 × 28,330.88
  4. Step 4: Simplify right side
    49,548.48x = 1,937,315,436.75
  5. Step 5: Solve for x
    x = 1,937,315,436.75/49,548.48
  6. Step 6: Final answer
    x = 39,099.39

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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.