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Finding the Fourth Proportional to 84,138.14, 116,108.77 and 46,412.39

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Solution

The fourth proportional to 84,138.14, 116,108.77 and 46,412.39 is: 64,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138.14 : 116,108.77 = 46,412.39 : x
  2. Step 2: Convert to fraction form
    84,138.14/116,108.77 = 46,412.39/x
  3. Step 3: Cross multiply
    84,138.14x = 116,108.77 × 46,412.39
  4. Step 4: Simplify right side
    84,138.14x = 5,388,884,703.05
  5. Step 5: Solve for x
    x = 5,388,884,703.05/84,138.14
  6. Step 6: Final answer
    x = 64,048.06

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