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Finding the Fourth Proportional to 54,603.30, 75,349.35 and 30,729

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Solution

The fourth proportional to 54,603.30, 75,349.35 and 30,729 is: 42,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,603.30 : 75,349.35 = 30,729 : x
  2. Step 2: Convert to fraction form
    54,603.30/75,349.35 = 30,729/x
  3. Step 3: Cross multiply
    54,603.30x = 75,349.35 × 30,729
  4. Step 4: Simplify right side
    54,603.30x = 2,315,410,176.15
  5. Step 5: Solve for x
    x = 2,315,410,176.15/54,603.30
  6. Step 6: Final answer
    x = 42,404.22

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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.