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Finding the Fourth Proportional to 77,410.54, 116,127.40 and 27,486.48

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Solution

The fourth proportional to 77,410.54, 116,127.40 and 27,486.48 is: 41,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.54 : 116,127.40 = 27,486.48 : x
  2. Step 2: Convert to fraction form
    77,410.54/116,127.40 = 27,486.48/x
  3. Step 3: Cross multiply
    77,410.54x = 116,127.40 × 27,486.48
  4. Step 4: Simplify right side
    77,410.54x = 3,191,933,457.55
  5. Step 5: Solve for x
    x = 3,191,933,457.55/77,410.54
  6. Step 6: Final answer
    x = 41,233.84

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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.