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Finding the Fourth Proportional to 54,699.52, 75,498.24 and 34,816

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Solution

The fourth proportional to 54,699.52, 75,498.24 and 34,816 is: 48,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,699.52 : 75,498.24 = 34,816 : x
  2. Step 2: Convert to fraction form
    54,699.52/75,498.24 = 34,816/x
  3. Step 3: Cross multiply
    54,699.52x = 75,498.24 × 34,816
  4. Step 4: Simplify right side
    54,699.52x = 2,628,546,723.84
  5. Step 5: Solve for x
    x = 2,628,546,723.84/54,699.52
  6. Step 6: Final answer
    x = 48,054.29

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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.