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Finding the Fourth Proportional to 54,592.26, 75,338.02 and 30,718.98

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Solution

The fourth proportional to 54,592.26, 75,338.02 and 30,718.98 is: 42,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,592.26 : 75,338.02 = 30,718.98 : x
  2. Step 2: Convert to fraction form
    54,592.26/75,338.02 = 30,718.98/x
  3. Step 3: Cross multiply
    54,592.26x = 75,338.02 × 30,718.98
  4. Step 4: Simplify right side
    54,592.26x = 2,314,307,129.62
  5. Step 5: Solve for x
    x = 2,314,307,129.62/54,592.26
  6. Step 6: Final answer
    x = 42,392.59

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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.