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Finding the Fourth Proportional to 77,269.80, 115,904.70 and 27,406.20

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Solution

The fourth proportional to 77,269.80, 115,904.70 and 27,406.20 is: 41,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,269.80 : 115,904.70 = 27,406.20 : x
  2. Step 2: Convert to fraction form
    77,269.80/115,904.70 = 27,406.20/x
  3. Step 3: Cross multiply
    77,269.80x = 115,904.70 × 27,406.20
  4. Step 4: Simplify right side
    77,269.80x = 3,176,507,389.14
  5. Step 5: Solve for x
    x = 3,176,507,389.14/77,269.80
  6. Step 6: Final answer
    x = 41,109.30

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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.