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Finding the Fourth Proportional to 62,130, 85,734 and 35,273.64

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Solution

The fourth proportional to 62,130, 85,734 and 35,273.64 is: 48,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,130 : 85,734 = 35,273.64 : x
  2. Step 2: Convert to fraction form
    62,130/85,734 = 35,273.64/x
  3. Step 3: Cross multiply
    62,130x = 85,734 × 35,273.64
  4. Step 4: Simplify right side
    62,130x = 3,024,150,251.76
  5. Step 5: Solve for x
    x = 3,024,150,251.76/62,130
  6. Step 6: Final answer
    x = 48,674.56

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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.