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Finding the Fourth Proportional to 34,137, 51,205.53 and 9,513

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Solution

The fourth proportional to 34,137, 51,205.53 and 9,513 is: 14,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137 : 51,205.53 = 9,513 : x
  2. Step 2: Convert to fraction form
    34,137/51,205.53 = 9,513/x
  3. Step 3: Cross multiply
    34,137x = 51,205.53 × 9,513
  4. Step 4: Simplify right side
    34,137x = 487,118,206.89
  5. Step 5: Solve for x
    x = 487,118,206.89/34,137
  6. Step 6: Final answer
    x = 14,269.51

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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.