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Finding the Fourth Proportional to 80,025.04, 110,419.44 and 48,196

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Solution

The fourth proportional to 80,025.04, 110,419.44 and 48,196 is: 66,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,025.04 : 110,419.44 = 48,196 : x
  2. Step 2: Convert to fraction form
    80,025.04/110,419.44 = 48,196/x
  3. Step 3: Cross multiply
    80,025.04x = 110,419.44 × 48,196
  4. Step 4: Simplify right side
    80,025.04x = 5,321,775,330.24
  5. Step 5: Solve for x
    x = 5,321,775,330.24/80,025.04
  6. Step 6: Final answer
    x = 66,501.38

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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.