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Finding the Fourth Proportional to 83,090.78, 114,651.75 and 49,094.54

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Solution

The fourth proportional to 83,090.78, 114,651.75 and 49,094.54 is: 67,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090.78 : 114,651.75 = 49,094.54 : x
  2. Step 2: Convert to fraction form
    83,090.78/114,651.75 = 49,094.54/x
  3. Step 3: Cross multiply
    83,090.78x = 114,651.75 × 49,094.54
  4. Step 4: Simplify right side
    83,090.78x = 5,628,774,967.23
  5. Step 5: Solve for x
    x = 5,628,774,967.23/83,090.78
  6. Step 6: Final answer
    x = 67,742.47

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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.