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Finding the Fourth Proportional to 97,995.49, 146,808.25 and 57,894.82

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Solution

The fourth proportional to 97,995.49, 146,808.25 and 57,894.82 is: 86,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,995.49 : 146,808.25 = 57,894.82 : x
  2. Step 2: Convert to fraction form
    97,995.49/146,808.25 = 57,894.82/x
  3. Step 3: Cross multiply
    97,995.49x = 146,808.25 × 57,894.82
  4. Step 4: Simplify right side
    97,995.49x = 8,499,436,696.51
  5. Step 5: Solve for x
    x = 8,499,436,696.51/97,995.49
  6. Step 6: Final answer
    x = 86,732.94

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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.