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Finding the Fourth Proportional to 97,619.80, 146,428.98 and 27,497.56

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Solution

The fourth proportional to 97,619.80, 146,428.98 and 27,497.56 is: 41,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,619.80 : 146,428.98 = 27,497.56 : x
  2. Step 2: Convert to fraction form
    97,619.80/146,428.98 = 27,497.56/x
  3. Step 3: Cross multiply
    97,619.80x = 146,428.98 × 27,497.56
  4. Step 4: Simplify right side
    97,619.80x = 4,026,439,663.29
  5. Step 5: Solve for x
    x = 4,026,439,663.29/97,619.80
  6. Step 6: Final answer
    x = 41,246.14

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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.