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Finding the Fourth Proportional to 53,977.60, 80,857.05 and 30,576.70

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Solution

The fourth proportional to 53,977.60, 80,857.05 and 30,576.70 is: 45,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,977.60 : 80,857.05 = 30,576.70 : x
  2. Step 2: Convert to fraction form
    53,977.60/80,857.05 = 30,576.70/x
  3. Step 3: Cross multiply
    53,977.60x = 80,857.05 × 30,576.70
  4. Step 4: Simplify right side
    53,977.60x = 2,472,341,760.74
  5. Step 5: Solve for x
    x = 2,472,341,760.74/53,977.60
  6. Step 6: Final answer
    x = 45,803.11

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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.