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Finding the Fourth Proportional to 104,576.46, 144,315.41 and 56,829.71

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Solution

The fourth proportional to 104,576.46, 144,315.41 and 56,829.71 is: 78,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,576.46 : 144,315.41 = 56,829.71 : x
  2. Step 2: Convert to fraction form
    104,576.46/144,315.41 = 56,829.71/x
  3. Step 3: Cross multiply
    104,576.46x = 144,315.41 × 56,829.71
  4. Step 4: Simplify right side
    104,576.46x = 8,201,401,893.11
  5. Step 5: Solve for x
    x = 8,201,401,893.11/104,576.46
  6. Step 6: Final answer
    x = 78,424.93

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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.