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Finding the Fourth Proportional to 104,576.70, 144,309.96 and 56,829.72

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Solution

The fourth proportional to 104,576.70, 144,309.96 and 56,829.72 is: 78,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,576.70 : 144,309.96 = 56,829.72 : x
  2. Step 2: Convert to fraction form
    104,576.70/144,309.96 = 56,829.72/x
  3. Step 3: Cross multiply
    104,576.70x = 144,309.96 × 56,829.72
  4. Step 4: Simplify right side
    104,576.70x = 8,201,094,620.01
  5. Step 5: Solve for x
    x = 8,201,094,620.01/104,576.70
  6. Step 6: Final answer
    x = 78,421.81

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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.