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Finding the Fourth Proportional to 97,830.32, 146,745.50 and 27,709.65

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Solution

The fourth proportional to 97,830.32, 146,745.50 and 27,709.65 is: 41,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,830.32 : 146,745.50 = 27,709.65 : x
  2. Step 2: Convert to fraction form
    97,830.32/146,745.50 = 27,709.65/x
  3. Step 3: Cross multiply
    97,830.32x = 146,745.50 × 27,709.65
  4. Step 4: Simplify right side
    97,830.32x = 4,066,266,305.53
  5. Step 5: Solve for x
    x = 4,066,266,305.53/97,830.32
  6. Step 6: Final answer
    x = 41,564.48

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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.