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Finding the Fourth Proportional to 84,094.15, 116,048.44 and 45,854

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Solution

The fourth proportional to 84,094.15, 116,048.44 and 45,854 is: 63,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,094.15 : 116,048.44 = 45,854 : x
  2. Step 2: Convert to fraction form
    84,094.15/116,048.44 = 45,854/x
  3. Step 3: Cross multiply
    84,094.15x = 116,048.44 × 45,854
  4. Step 4: Simplify right side
    84,094.15x = 5,321,285,167.76
  5. Step 5: Solve for x
    x = 5,321,285,167.76/84,094.15
  6. Step 6: Final answer
    x = 63,277.71

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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.