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Finding the Fourth Proportional to 62,509.52, 86,261.64 and 34,216.40

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Solution

The fourth proportional to 62,509.52, 86,261.64 and 34,216.40 is: 47,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,509.52 : 86,261.64 = 34,216.40 : x
  2. Step 2: Convert to fraction form
    62,509.52/86,261.64 = 34,216.40/x
  3. Step 3: Cross multiply
    62,509.52x = 86,261.64 × 34,216.40
  4. Step 4: Simplify right side
    62,509.52x = 2,951,562,778.90
  5. Step 5: Solve for x
    x = 2,951,562,778.90/62,509.52
  6. Step 6: Final answer
    x = 47,217.81

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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.