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Finding the Fourth Proportional to 62,412.84, 86,121.54 and 37,257

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Solution

The fourth proportional to 62,412.84, 86,121.54 and 37,257 is: 51,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,412.84 : 86,121.54 = 37,257 : x
  2. Step 2: Convert to fraction form
    62,412.84/86,121.54 = 37,257/x
  3. Step 3: Cross multiply
    62,412.84x = 86,121.54 × 37,257
  4. Step 4: Simplify right side
    62,412.84x = 3,208,630,215.78
  5. Step 5: Solve for x
    x = 3,208,630,215.78/62,412.84
  6. Step 6: Final answer
    x = 51,409.78

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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.