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Finding the Fourth Proportional to 35,373, 53,059.86 and 10,749

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Solution

The fourth proportional to 35,373, 53,059.86 and 10,749 is: 16,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,373 : 53,059.86 = 10,749 : x
  2. Step 2: Convert to fraction form
    35,373/53,059.86 = 10,749/x
  3. Step 3: Cross multiply
    35,373x = 53,059.86 × 10,749
  4. Step 4: Simplify right side
    35,373x = 570,340,435.14
  5. Step 5: Solve for x
    x = 570,340,435.14/35,373
  6. Step 6: Final answer
    x = 16,123.61

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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.