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Finding the Fourth Proportional to 104,576.53, 144,314.91 and 56,829.87

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Solution

The fourth proportional to 104,576.53, 144,314.91 and 56,829.87 is: 78,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,576.53 : 144,314.91 = 56,829.87 : x
  2. Step 2: Convert to fraction form
    104,576.53/144,314.91 = 56,829.87/x
  3. Step 3: Cross multiply
    104,576.53x = 144,314.91 × 56,829.87
  4. Step 4: Simplify right side
    104,576.53x = 8,201,397,574.36
  5. Step 5: Solve for x
    x = 8,201,397,574.36/104,576.53
  6. Step 6: Final answer
    x = 78,424.84

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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.