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Finding the Fourth Proportional to 52,682.49, 78,641.96 and 48,780.54

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Solution

The fourth proportional to 52,682.49, 78,641.96 and 48,780.54 is: 72,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,682.49 : 78,641.96 = 48,780.54 : x
  2. Step 2: Convert to fraction form
    52,682.49/78,641.96 = 48,780.54/x
  3. Step 3: Cross multiply
    52,682.49x = 78,641.96 × 48,780.54
  4. Step 4: Simplify right side
    52,682.49x = 3,836,197,031.56
  5. Step 5: Solve for x
    x = 3,836,197,031.56/52,682.49
  6. Step 6: Final answer
    x = 72,817.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.