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Finding the Fourth Proportional to 55,195.92, 75,978.04 and 48,110

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Solution

The fourth proportional to 55,195.92, 75,978.04 and 48,110 is: 66,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,195.92 : 75,978.04 = 48,110 : x
  2. Step 2: Convert to fraction form
    55,195.92/75,978.04 = 48,110/x
  3. Step 3: Cross multiply
    55,195.92x = 75,978.04 × 48,110
  4. Step 4: Simplify right side
    55,195.92x = 3,655,303,504.40
  5. Step 5: Solve for x
    x = 3,655,303,504.40/55,195.92
  6. Step 6: Final answer
    x = 66,224.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.