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Finding the Fourth Proportional to 35,349, 53,023.50 and 10,725

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Solution

The fourth proportional to 35,349, 53,023.50 and 10,725 is: 16,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,349 : 53,023.50 = 10,725 : x
  2. Step 2: Convert to fraction form
    35,349/53,023.50 = 10,725/x
  3. Step 3: Cross multiply
    35,349x = 53,023.50 × 10,725
  4. Step 4: Simplify right side
    35,349x = 568,677,037.50
  5. Step 5: Solve for x
    x = 568,677,037.50/35,349
  6. Step 6: Final answer
    x = 16,087.50

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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.