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Finding the Fourth Proportional to 52,829.65, 79,314.86 and 30,658.94

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Solution

The fourth proportional to 52,829.65, 79,314.86 and 30,658.94 is: 46,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,829.65 : 79,314.86 = 30,658.94 : x
  2. Step 2: Convert to fraction form
    52,829.65/79,314.86 = 30,658.94/x
  3. Step 3: Cross multiply
    52,829.65x = 79,314.86 × 30,658.94
  4. Step 4: Simplify right side
    52,829.65x = 2,431,709,511.35
  5. Step 5: Solve for x
    x = 2,431,709,511.35/52,829.65
  6. Step 6: Final answer
    x = 46,029.26

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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.