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Finding the Fourth Proportional to 30,541.93, 45,813.50 and 20,078.69

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Solution

The fourth proportional to 30,541.93, 45,813.50 and 20,078.69 is: 30,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.93 : 45,813.50 = 20,078.69 : x
  2. Step 2: Convert to fraction form
    30,541.93/45,813.50 = 20,078.69/x
  3. Step 3: Cross multiply
    30,541.93x = 45,813.50 × 20,078.69
  4. Step 4: Simplify right side
    30,541.93x = 919,874,810.15
  5. Step 5: Solve for x
    x = 919,874,810.15/30,541.93
  6. Step 6: Final answer
    x = 30,118.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.