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Finding the Fourth Proportional to 77,166.22, 115,719.90 and 27,237.01

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Solution

The fourth proportional to 77,166.22, 115,719.90 and 27,237.01 is: 40,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,166.22 : 115,719.90 = 27,237.01 : x
  2. Step 2: Convert to fraction form
    77,166.22/115,719.90 = 27,237.01/x
  3. Step 3: Cross multiply
    77,166.22x = 115,719.90 × 27,237.01
  4. Step 4: Simplify right side
    77,166.22x = 3,151,864,073.50
  5. Step 5: Solve for x
    x = 3,151,864,073.50/77,166.22
  6. Step 6: Final answer
    x = 40,845.13

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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.