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Finding the Fourth Proportional to 54,646.48, 75,413.40 and 30,449.05

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Solution

The fourth proportional to 54,646.48, 75,413.40 and 30,449.05 is: 42,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,646.48 : 75,413.40 = 30,449.05 : x
  2. Step 2: Convert to fraction form
    54,646.48/75,413.40 = 30,449.05/x
  3. Step 3: Cross multiply
    54,646.48x = 75,413.40 × 30,449.05
  4. Step 4: Simplify right side
    54,646.48x = 2,296,266,387.27
  5. Step 5: Solve for x
    x = 2,296,266,387.27/54,646.48
  6. Step 6: Final answer
    x = 42,020.39

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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.