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Finding the Fourth Proportional to 97,726.50, 146,590.36 and 27,606.42

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Solution

The fourth proportional to 97,726.50, 146,590.36 and 27,606.42 is: 41,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,726.50 : 146,590.36 = 27,606.42 : x
  2. Step 2: Convert to fraction form
    97,726.50/146,590.36 = 27,606.42/x
  3. Step 3: Cross multiply
    97,726.50x = 146,590.36 × 27,606.42
  4. Step 4: Simplify right side
    97,726.50x = 4,046,834,977.10
  5. Step 5: Solve for x
    x = 4,046,834,977.10/97,726.50
  6. Step 6: Final answer
    x = 41,409.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.