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Finding the Fourth Proportional to 58,089.84, 86,996.52 and 33,414

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Solution

The fourth proportional to 58,089.84, 86,996.52 and 33,414 is: 50,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,089.84 : 86,996.52 = 33,414 : x
  2. Step 2: Convert to fraction form
    58,089.84/86,996.52 = 33,414/x
  3. Step 3: Cross multiply
    58,089.84x = 86,996.52 × 33,414
  4. Step 4: Simplify right side
    58,089.84x = 2,906,901,719.28
  5. Step 5: Solve for x
    x = 2,906,901,719.28/58,089.84
  6. Step 6: Final answer
    x = 50,041.48

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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.