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Finding the Fourth Proportional to 54,478.70, 75,187.61 and 30,605.40

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Solution

The fourth proportional to 54,478.70, 75,187.61 and 30,605.40 is: 42,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478.70 : 75,187.61 = 30,605.40 : x
  2. Step 2: Convert to fraction form
    54,478.70/75,187.61 = 30,605.40/x
  3. Step 3: Cross multiply
    54,478.70x = 75,187.61 × 30,605.40
  4. Step 4: Simplify right side
    54,478.70x = 2,301,146,879.09
  5. Step 5: Solve for x
    x = 2,301,146,879.09/54,478.70
  6. Step 6: Final answer
    x = 42,239.39

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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.