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Finding the Fourth Proportional to 97,509.30, 146,291.49 and 27,389.22

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Solution

The fourth proportional to 97,509.30, 146,291.49 and 27,389.22 is: 41,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,509.30 : 146,291.49 = 27,389.22 : x
  2. Step 2: Convert to fraction form
    97,509.30/146,291.49 = 27,389.22/x
  3. Step 3: Cross multiply
    97,509.30x = 146,291.49 × 27,389.22
  4. Step 4: Simplify right side
    97,509.30x = 4,006,809,803.74
  5. Step 5: Solve for x
    x = 4,006,809,803.74/97,509.30
  6. Step 6: Final answer
    x = 41,091.57

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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.