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Finding the Fourth Proportional to 62,500.32, 86,252.64 and 34,206

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Solution

The fourth proportional to 62,500.32, 86,252.64 and 34,206 is: 47,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,500.32 : 86,252.64 = 34,206 : x
  2. Step 2: Convert to fraction form
    62,500.32/86,252.64 = 34,206/x
  3. Step 3: Cross multiply
    62,500.32x = 86,252.64 × 34,206
  4. Step 4: Simplify right side
    62,500.32x = 2,950,357,803.84
  5. Step 5: Solve for x
    x = 2,950,357,803.84/62,500.32
  6. Step 6: Final answer
    x = 47,205.48

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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.