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Finding the Fourth Proportional to 76,094.34, 104,945.76 and 45,873.04

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Solution

The fourth proportional to 76,094.34, 104,945.76 and 45,873.04 is: 63,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,094.34 : 104,945.76 = 45,873.04 : x
  2. Step 2: Convert to fraction form
    76,094.34/104,945.76 = 45,873.04/x
  3. Step 3: Cross multiply
    76,094.34x = 104,945.76 × 45,873.04
  4. Step 4: Simplify right side
    76,094.34x = 4,814,181,046.31
  5. Step 5: Solve for x
    x = 4,814,181,046.31/76,094.34
  6. Step 6: Final answer
    x = 63,265.95

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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.