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Finding the Fourth Proportional to 54,866.93, 75,713.87 and 34,459.54

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Solution

The fourth proportional to 54,866.93, 75,713.87 and 34,459.54 is: 47,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866.93 : 75,713.87 = 34,459.54 : x
  2. Step 2: Convert to fraction form
    54,866.93/75,713.87 = 34,459.54/x
  3. Step 3: Cross multiply
    54,866.93x = 75,713.87 × 34,459.54
  4. Step 4: Simplify right side
    54,866.93x = 2,609,065,028.68
  5. Step 5: Solve for x
    x = 2,609,065,028.68/54,866.93
  6. Step 6: Final answer
    x = 47,552.60

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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.